So long story short, I lost some data including Civ V saves so I had to restart everything I was working on from scratch
It was interesting because this game played out differently. England went Hostile on turn 3 and denounced me on turn 8 as she is wont to do. Maya and Germany both coveted my lands. I noticed the Maya hadn't hit Composites yet but I had so I went and beat up on him and was able to get his capital around turn 100 and Tikal a bit after that. I was able to nab the Oracle and that let me spring into Honor. I decided to experiment a bit and forego finishing Tradition in order to blow through right-side Honor and actually got to Professional Army in time for Machinery. That's also why my NC is so late.
About this time Arabia DoWed me(my spy told me it was coming) but he was on the other side of the map so all I ever saw was 1 Pikeman come at me.
After a little respite to deal with my actual infrastructure building, I went up north and fought a long, tough fight with Germany. I was finally able to break through his spam(it IS Germany after all) and take Berlin on 186. I took a calculated risk and went for Dynamite instead of Flight because since even runaway Cathy wasn't in the Modern yet, the other civs probably weren't close either. I took my Artillery and marched north to take out another German city and made peace with him to focus on Arabia. Hit Flight in the meantime and bought some planes which helped chip through his Artillery. I kept rolling and took his York puppet(which pre-made oil wells, thanks!), Basra, and Baghdad in quick succession after breaking his Artillery spam but had to settle for a nice peace deal because Medina was guarded by Battleships that trashed my Artillery.
I decided the solution was to push for Rocket Artillery, and I got there quite fast because I had several Great Scientists and a leftover RA from Ethiopia. I decided just to hit Satellites while I was right there and was able to get Hubble with faith-bought GEs because I wanted to stop Cathy from getting it. As I did this, Arabia+Russia DoWed Germany so I caught Arabia with his pants down and went through Medina/Damascus/Meccca in 4 turns because Rocket Artillery are AMAZING.
So here's where I stand: I can cruise to a Science Victory pretty easily now, but I want to take down Cathy's capital, but that's going to be insanely hard. Going to pack some Nuclear Missiles on Missile Cruisers and try to blow her up the same turn I attack England(If I do that now everyone will hate me and I'll lose my only two trading partners).
I saw some people before ask about mid-game screenshots etc. so here's some
Turn 101 Again Oracle delayed NC.
Turn 186
Turn 222 trading that city over and over while I chip his Artillery
Current situation, Turn 270