Just glancing at it, a few things come to mind, in no particular order.
You have enough cities and production that you should be able to blow the enemy away rather quickly, but you have to set your mind to doing it.
You seem to be building a lot of ships. Naval power is somewhat slow and unwieldy in civ. You can have a few to secure some sea routes, but most of your focus should be on land units at this time.
You have roads and railroads that seem to be of no use. Of particular note is the mountain region around Hastings2 Coventry 2, and York 2. you have hundreds of engineer-turns wasted in the work you've done in those mountains. Focus on work that will help you reach your goals.
You could also use more engineers.
Your best unit right now is Armor, which isn't too bad. You could build a lot of these, and some transports and start kicking butt with overwhelming force. You've got a pile of tanks in York 2, but your building a battleship instead of a transport to get those tanks to the front. It doesn't do you good to have those units if they can't get out to fight. Build ship chains from key cities to the continents where the fighting is. With railroads and ship chains, you should be able to get units to the front the same turn they are built.
Don't be afraid to IPRB units to get them built and into the fray sooner.
You should push hard to get to Robotics (Machine tools->Miniaturization->Computers->Robotics), then rush dozens of howitzers for your offensives. Howies are more powerful, have higher firepower, and ignore city walls. Vet howies will melt away any resistance in those cities.
You're not going to do well on research in fundamentalism because all science from the cities is halved. You might consider pushing some of your cities into celebrations to get the higher trade. Set your luxuries very high for one turn to get the celebrations started giving the extra trade, then (because you have the extra trade arrows) you can sustain the celebrations with a more reasonable luxury rate - maybe even as low as the 20% you have to science, keeping 70-80% gold and zeroing out science from taxes. These extra trade arrows will give you more gold. You can then get your science by building (rushbuy) a bunch of freights in your big trade cities and delivering them (more reason for those ship-chains) to foreign cities that demand them (sometimes right before you attack the city

)- this will boost both your gold and science with the delivery bonuses. You could easily complete a tech every turn or two if you try hard enough. Unlike city-based science, fundamentalism does not cut science from trade bonuses in half. Just make sure you have at least one city producing some beakers so you learn new techs - hire an einstein somewhere. (If you have no beakers from cities you will never learn new techs.) This approach is more profitable with the celebrations because your cities will be getting the extra trade arrows, increasing payouts. Search the forums for threads about "Power Fundamentalism" by Starlifter for more information on this approach.
I'm sure there's things others may bring up. Hopefully these ideas will help. You're positioned well for victory by your large production base.