There are some things you can do to beat America! I just finished a Babylonia game with a cultural victory in 1988, but I was also slightly leading the tech race and had better production too. Here's some tips I took away from that game
- Run free market when you can get it and keep running it until you get the event that reduces inflation. I went from -200 GPT to like +50 at 100% research when this happened so it's always worth it, and you usually get it at
some point if you run free market long enough.
- As soon as you can, switch to democracy, build the statue of liberty, then you can keep running democracy for the great people for a while but at some point you're gonna wanna make sure to have a specialist or hybrid economy, and use state party and egalitarianism to get the most out of it. That way you can get a ton of espionage for stealing techs, while still leaving your science as high as it can go (if you're able to get enough shrines and managed great people and national wonders right throughout the game, that can probably be 100% most of the time!).
- This gets into the realm of maybe being a bit of cheese but if you can get Cristo Redentor, then in addition to stealing techs you can also switch to terrible civics, make America change to those civics, then switch back the next turn. It hurts your economy a bit, but since they have to go through several turns of revolution to get back it hurts theirs way more, and is way cheaper than stealing techs.
- It is pretty specialist focused, but don't get too caught up on that! I've found free market and multilateralism to be way better than central planning or isolationism despite the latter two being specialist focused (even after I got the inflation event). But that is situation based of course so maybe going for different civics will work for you! The point is to remember that not all your civics
have to focus on the same thing.
- Last but not least make sure you have a gigantic economy that you've built up throughout the game, if at all possible take the Jewish holy city so you can build Dome of the Rock and get tons of shrine money (assuming you can get a shrines, which you can get lots as Rome). And don't forget your national wonders!