The trick is to build the UN and manhatten project, build up a mass of nukes, nuke the hell out of all thier cities, then ban nukes AT LEAST untill you get SDI.
There is a trick that i find effective...
since they can now defy the resolution, the danger of nukes cannot be eliminated.
If you have enough espionage, you can see what cities of thiers are building nukes, but even better, you can hopefully see thier sources of uranium. Nuke thier sources of uranium so they cant retaliate. If it is near water, keep subs with guided missiles ready to bomb the mines, should they attempt to rebuild them. If it is near your land, or you have an airbase nearby, bombers (or missiles of course) are great for preventing retaliation, simply by eliminating thier resorces.
This is how the pros play of course... requires a lot of co-ordination and even more planning. Last war I got into was a war against the AI, in wich his masses of cavalry were unmatchable. My infantry got overwhelmed in the last war, and a freak intervention from the apostolyptic palace saved me at the cost of a city or two.
I wanted my cities back, so Next war was co-ordinated with Many formation soldiers and a single sub floating around back sending guided missile attacks at thier pasture of horses. It wasn't long before thier supplies of cavalry dwindled to a trickle, and by that time, i had bombers on aircraft carriers out there preventing reconstruction of the pasture.
Sorry i got carried away there... it was a good day.
Good luck!