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id think heads and cams would get you there right? or pretty close? in anycase if you do the work yourself youll be able to do full bolt ons and heads and cams, then you wouldnt have to be the best driver in the world to runs 12s as long as you have good sticky tires lol.
in addition to the above mentioned mods, i think you could hit it with some nitrous and still stay within your budget of 3-4k. this will DEFINITELY take you into 12 second territory, even if you're a terrible driver. i priced some nitrous kits a while back (ended up going with a blower instead), and the setup i was going to run was right around $1k. that included a bottle heater, window switch, and a fuel pressure safety switch.