I don't mean to be rude, but the four year degree generally has nothing to do with how well you go from a 172 to a jet (this coming from a Riddle dude). If you did a jet course that may help. I had 1000+ ME turbine and an MD-80 sim course when I applied and went to the jet but we had a few CFIs in my class that didn't have any turbine time. That was last spring when they couldn't fill classes.

Good luck!