Problem Solved
A guy I worked with a long time ago had a pretty good idea what it was. Apparently he bought a 200sx years ago for cheap from a guy that thought the timing chain was broke. My friend thought it had jumped a tooth on the timing chain. He loosened the distributor and tried advancing/retarding the timing. And found it had jumped time.
In my case, it hadn't jumped time. But him just turning the distributor, and the ignition catching at full advance, made him think mine had jumped. However, when he set the distributor back to it's normal position, and told me to try it one last time,
it started up fine. Somehow just moving the distributor around fixed whatever was wrong. Vapor lock or vacuum lock maybe?
I'm still trying to figure out how just changing the clutch would have caused this? I moved the crank pulley a little bit when lining up the splines of the input shaft, but moved it back where it was after I was done. Maybe that was enough to put it in lock? Either way, I'm glad he helped out. Hopefully this might help anyone else that may have this problem.