So the rumor was that JC had a daughter instead of a son?
No, Cicero mentioned in a letter that he hoped Cleo would have a miscarriage, as she was fleeing Rome after the assassination. If Cicero stated this, then would you agree that he believed she was pregnant with a second child of Julius (presumably)? Caesarion was a young boy by then.
The assassination with all the parallels to cruci-fiction of Jesus of Nazareth.
It might also seem that way because we have Josephus handed out down to us, and not many others, because supposedly he was a witness to Christ. We can be thankful for this because Josephus would have likely ended up in obscurity if not when craziness of when the Church was in power and destroyed many ancient texts that were antithetical to X-ity.
Have you read Atwill's
Caesar's Messiah? I suppose that you could argue that all of Josephus' material was written later, ala late dating for the canonic gospels, because Atwill demonstrates that the canonic gospels are textually interwound with the parallel aspects of Josephus. This where they seem to repeatedly answer each other as to various cryptic aspects raised in each.
However, then there are the issues of the Matthew prophecy regarding the fate of the temple 'within the disciples'
generation' (commonly used back in the day for a period of 40 years), placing the Second Coming in 70 CE according to orthodox chronology. Who knocked down said temple? Titus Flavius, the son of the future god Vespasian. And this fulfills the graft in
Romans 11, of the gentile olive tree branch onto the Jewish olive tree's "root of Jesse".
The archaeologist, John Bartram had [sic] a significant amount of material posted on his Google+ account regarding the heavy 'Chrestian' nexus of the Flavians, based upon epigraphy and such. Then there are matters like Domatilla Flavius and her sarcophagus. I could go on, but now you are making my reiterate things which I and others have already written about.
"Ichthus?" Lots of symbology to go by from ancient Egypt like the "ankh" symbol and Goddess Diana one of the Roman goddess. Depending on where we can claim Christianity took off, these symbols were assimilated to gain local supporters. I don't know enough about Chrestians vs. Christian to comment. I believe in the Tactius commentary during Nero's time there is debate about whether Tactius was referring to a "good" "("Chrestus") teacher vs. "Christian." I don't believe this for a second. Nero may have blamed "foreigners" (again doubtful...and he had plenty to choose from ranging from Parthians to non-allied Gauls to Germans to fill in the blank) for the fire and was likely used as rallying cry in hindsight looking back in time by later writers.
For the fishies and anchor, you should read Valliant and Fahy's
Creating Christ, which I have a separate thread on. They also discuss the narrative (at least) role of Paul as an agent of Rome in regards to co-opting the nationalist movement Zealots, aka Nazoreans, and as some others which consider that, at that time, hellenized diaspora Jews likely identified with the term
christiani. Hence, the Flavians use of 'chrestian' might seem to work as a parallel 'agency' with which to, over time, steer people towards the imperial zeitgeist.
Bartram showed that the Chrestian movement was well placed in Anatolia, where Flavians liked to 'exile' supposedly naughty Romans not otherwise suited for execution. Bartram believes that Nero had it out for these impertinent Chrestians, which he includes Poppaea and Epiphroditus, the latter who links to Josephus and Paul. However, I think that this conflict is 'merely' framed wrong. We are discussing here counter-intelligence and establishing reputations for the rebels' baiting. And as well, we are discussing what I believe became in inner church, the esoteric Christianity initially ran inside of Roman Mithraism, ala Flavio Barbiero's scenario (you would not doubt an Italian admiral would you?).
Flavians may have shown more tolerance for other religions and Rome after having gone through the Julii clan for almost 100 years was probably tolerant to this. But I don't really believe that the Emperors were out there creating long terms religious cults expecting people to worship them as "Gods" forever and ever. Caligula was a one off nut, after ruling the first 4 years within a strong Roman tradition. He insulted the Romans just as much as he did the Jews by having his statues be placed in Roman houses of worship and he was soon dispatched by Roman army officers after these insults.
Ah, so you are yet a man of faith.

No sir, Rome (not just Flavians and the Iulii) were always very tolerant of of other religions and cults, excepting when they were perceived as threats to the power structure. They were uber-cosmopolitans, albeit they (except for Julius) did not like granting Roman citizenship rights to others.
As you have admitted, you are not familiar with the breadth of material we discuss here. Hence, it has not dawned on you that the new cult's purpose was not intended to become a Religion, much less the new imperial state religion, by the fiat flip of an imperial switch. You are talking about a major disruption of Culture(s), and such takes a lot of time and effort, multiple generations. And, the instigators can't be telling the
hoi polloi what their intentions are can they?
Are you stating that the Roman imperial cult did not place statutes of the emperor gods in their cult basilicas? These major basilicas in the same cities that Paul writes his epistles to. I know, just a coincidence, but how convenient to be able to use the covert resources of the imperial cult to help such agents as Paul. Whenever Paul gets in trouble, the Roman soldiers are Johnny-on-the-spot to save his ass.
And then there are matters like the 153 fishies. Is this merely another coincidence Tito?
Out of the 50+ 'gospels' circulating back in the day, esoteric Pythagorean/Platonic material like the fishies and the Logos ends up in what became a religion for the masses. Yet it is with people like the Flavians (still elite Sabines despite their supposed lowly stature - like Jesus's
tekton occupation) who would appreciate such content. And similar works like Juvenal's Big Fish story, Satire #4, where the Roman poobahs have an important meeting at Domitian's villa about the fish that is just tooooo big. Yes, the villa that now is the summer residence of the Pope.
Christians have ever reveled in the conceit that Jesus ultimately conquered the evil Romans. Unfortunately, those fleeing the ship, like me once, were content to merely write off the belief system as some form of organic sludge upon the growth of civilization. Surely the mere Romans weren't capable of any sophisticated Machiavellian behaviors. After all, Machiavelli came much later, right? Weaving disparate religions together, deceiving people (beyond simpler "divide and conquer" techniques that they were famous for that is) and such? And worse, that this might imply that our 'modern' world operates on generally the same basis.
Ha!!!, how do you think 'Jews' came to exist in the first place? Their very canon (the basis for their Identity) explicitly states that some guy from the Egyptian royal court informed them that they needed to stop doing 613 cultural things that their neighbors were doing. Why? Well, we know for a fact that many of these 'tribes' were originally pagan Canaanites (e.g. Asher) or Greek Philistines (e.g. Danoi).
We're back to Akhenaton!!!