First, get your probes to mine, and build a pylon. When you get enough minerals again, build a forge, and set up fast defense. After that, get a gateway, then start some probes to get gas. Get a Cybernetics Core. After that, build the Citadel of Adun, then Templar Archives. Then, you build two dark templars. Combine them two to make a Dark Archon, and get the Mind Control from the Templar Archives. Build a Starget, and get an arbiter. Then, get your ally to give you an SCV, and build the usual Command Center, and Barracks. Then you get a few factories, two or three recommended with machine shop. Then, get Seige Mode. Get about 8 Tanks and put them in seige in an isolated area by you. (Forgot something..get the Recall at the Arbiter's Building ((Forgot name))). Go to the enemy, and recall the tanks in seige mode. Then, they blast away at the enemy, as well as keeping them...heh...CLOAKED! Peace!
(Preferred for Shared Bases Map)

CreepColony's Opinion: While the idea is nice, I wouldn't use this strategy very often because it would take too long.