Whatever you do, don't disconnect/reconnect the ISV harness connector with the engine running. You can kill the ECU.
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First off, connect everything like it's supposed to be. ISV and everything. Does the ISV "humm" and vibrate with the key in the "on" position?
Is your idle/full throttle switch pair (top rear and bottom of throttle body) in adjustment and working correctly? You can test it by checking for continuity at the 2-prong port behind the TB. There should be continuity with the throttle valve in the "rest" position. This tells the ECU to run its idle program.
It may be tough to do, but get the engine hot, and perform the procedure for setting the idle speed. You'll have to unplug the CTS harness connector (blue sensor located on upper coolant flange), and rev the engine over 2100rpm 3x. If your engine won't stay alive while you're trying to do this, unscrew (counterclockwise) the idle air bypass (front of TB) until you can get the idle to stabilize at 1000-1100rpm. Plug the CTS connector back in, and your idle should be stabilized at 850rpm. Once complete, rev engine past 2500rpm 4x. You may want a friend to help keep the engine alive while you're turning screws if you are having trouble doing it yourself.
It sure sounds like the previous owner went and fiddled with all sorts of adjustments before selling the car to you. Performing the above should get us a better idea of where your motor is at.






