Regarding Julius Caesar:
He will die in Mytilene regardless of what you do. As mentioned, you’re basically stepping into Caesar’s shoes.
I think the idea makes sense, though I find the representation of Caesar annoying. This is a person who has lived through bloody purges in Rome, been High Priest of Jupiter (and stripped of the office again), had his inheritance and wife’s dowry stripped from him and still stood up against Sulla, been on the run and survived before starting his military career in the provinces. Whatever that character in the start of the story is supposed to be, he has very little in common with JC.
It kind of makes me less eager to try the game. We’re gifted with such a wealth of personal correspondence from this period (especially from Cicero) which gives us a unique insight into the “notables” of the period, so I’m loath to see which other characters they’ve butchered.