So what can I do for relatively cheap to get to around 330-350ish horsepower. I really just want to be able to go to the drag track and be able to smoke my cousin on his little old Mopar turboed 4 cylinder cars
330-350ish whp can be done on the stock turbo with e85, or with an upgraded turbo, but keeping the oem shortblock.
stock turbo route you'll need/want:
fuel system, turboback, ebcs, clutch most likely, and an e85 tune.
upgraded turbo, basically everything i said above, cept you wouldnt need e85, and i'd suggest an 18g xtr turbo from blouch for that 330-350whp goal.
my guess, either of those options, with the little things you may need, would run in the range of 5-7k, with a little bit of range pending if you did the work yourself, or had someone else do it.
i'd say a must is an air oil separator (either killer b or iag brand), killer b oil pickup and baffle, cyl 4 cooling mod.
good thing is, you can do these things in stages, and many tuners will give "discounts" for lack of a better word, for them adjusting a tune for a new part, because they wont have to do a full tuner per say, just adjustments for new parts. that wont be on every tune, it will depend on the part they are adjusting for. but something to think about.
i'm happy to go into further detail on what specific parts/brands if you have any questions.