hey guys got a small problem and some concerns

Do you mean the IAC (idle air control) valve? And what to you mean by "unhook and blow off"? If you unplugged it and the idle was more stable, I'd say the IAC is either stuck (dirty) or has gone tits-up. That would not explain however the car running rich and blowing smoke though when its unplugged. Does it only seem to cut-out when the engine is hot or is does it also do it when its cold?

First thing I'd do is check for codes with your code reader, its pretty straight-forward. I'd check the fuel pressure before worrying about compression for now. Does it seem to be down on power as well when this happens? It sounds to me like its running quite rich. It'll be easier to pinpoint if any codes come up.

Oh and I reaslised I made a false statement in my first post, a bad IAC will not change the idle when disconnected. Yours sounds like its working fine.

One last thought: check the voltage at the TPS (throttle position sensor) when the ignition is "on". If its above 1V it could be the problem. Its been a while but I think you have to back-probe the grey (ground) and black/green (output) wires. Whatever the colors, they are the two outside wires of the 3-wire connector. The middle one should be 5V input if I am not mistaken.

Let us know what you find

Just wondering does your car seem like it is down on power...meaning electrically? and does it get worse when you start hitting little bumps and stuff...If so I would just check the alternator wire running from the back of the alternator to the fuse box area...the wire might be burnt or such from a bad connection..This might not be it at all since I didnt have the white smoke but just an idea I guess.