We are not able to hit Babylon fast and hard.
There is a great danger that Babylon forms an alliance against us.
Babylon will most likely enter their Golden Age soon and get increased production.
Thus it is unlikely that they agree to peace soon and cheap.
We should be able to defend Huntington and Santa Lucia, if we upgrade our warriors.
Our weak point obviously is Mure. It was a grave error that didn't do a rolling exchange of the warriors with upgraded swords. Sending them to Groton now takes just too long.
I have the great great worry that we loose Mure. Our best (only?) hope to avoid this would be to make an
alliance with Germany and Russia. Then we might as well include India in the alliance. And Egypt and Greece.
What are the pros and cons:
Con: we are bound to fight for 20 turns, unless all of our allies make peace earlier, which is possible but unlikely.
Con: we cannot trade with Babylon for 20 turns, which mostly effects the free tech they got; did they? which one? IMHO minor point.
Con: We have the switch to republic (i.e. have anarchy) during the war.
I would never ever stay another 20 turns in despotism!
Pro: the AI is notoriously bad in fighting at several borders at the same time.
Pro: Babylon cannot form a military alliance against us.
And that would be really bad.
Pro: Babylon with their bowmen would have their Golden Age during despotism and waste most of it.
Pro: we most likely will not suffer heavy losses.
Pro: all the AIs are slowed in their research
Recommendation:
Kill the Babylonian warrior in our territory.
Reduce science slider, but still finish republic in one turn.
Do upgrades; move warriors to barracks; move troops towards the front.
Do all sort of other things.
End turn and learn republic. Do 1st revolt via "Big Picture".
From the Domestic Advisor micromanage all cities for non-riot maximum food.
If more than 4 turns of anarchy, revolt again.
Trade/give philosophy, currency, construction to Greece in order to make them get their free tech.
Trade for the free techs of the scientific AIs: get wms, to learn about Babylonian infrastructure; try to only trade them contacts, ROP, money to get the techs; try to not give them republic. Get as much money from everybody for all techs (except republic).
Include forming alliances with all AIs vs. Babylon.
Attack/raze Zirqum. I most likely would not/not yet attack the junge towns but get enforcements first.
Once we are republic, hurry walls in Mure.
PS: I personally would use the 2 galleys between us and Egypt to explore the NE coast for a good place to start a suicide run across the sea to the missing civs. making contact could give us massive amounts of cash for hurrying units/barracks/walls.
PPS: I would hate to be pulled in a war and only loose/pay tribute for peace!