I think you're just noticing the operation of the oil level indicator. For an accurate reading the car has to sit for awhile. If you start the engine, stop it, and turn the key to see the indicator you'll see it flash and mine shows a time on how long it will take to get a new level reading.
I searched renntech.org and your problem may be a dirty throttle body.
http://www.renntech.org/forums/index.php?showtopic=3595&hl=stalling#