Interesting post. Caesar is the best leader in the game IMO. He has the best UU, great conquering traits, and two of the best half price building available. I do disagree somewhat with the initial strategy since I don't think you are making the best use of expansive.
I like to beeline immediately to pottery and start cranking cottages/granaries. Then bronze followed by mysticism - priesthood. Then chop in the Oracle for IW (and stonehenge if I can get it). I think a direct IW sling is by far the best tactic with Rome. If you try to sling to COL or CS then you are not taking full advantage of Caesar's powerful UU and org trait. The early praetorians are simply unstoppable and conquering neighbors becomes ridiculuously easy if you have granaries set up to pop rush after an IW sling.
Shooting for an early religion might be worthwhile since it is on the way to priesthood, but I prefer to get pottery ASAP. I will be getting COL from my prophet anyway so the religion will most likely be taken care of (if not just conquer a holy city). COL is the next priority so you can gain the benefits of half price courthouses. Also, I would never go for the pyramids with Caesar (it justs wastes valuable conquering time). Once you get COL just start smashing your neighbors - don't wait for catapults as praets can do it by themselves.
By the way, in my games I usually make liberalism more of an early priority. I will research within 1 turn of completion and delay as long as possible, but I always have to grab it well before infantry.