Are you saying:

With the A/C OFF, you can stop the car and the engine keeps running. But, when the A/C is ON and you stop the car, the engine dies?

When the engine is running at idle and you turn the A/C ON, does the engine die. If so, how? Does the engine lug down then die, or turn off like you just turned off the ignition switch?

If the engine keeps running, does the idle speed pick up when you turn the A/C ON or stay the same?

 

Yes, Only when the engine is running and when the A/C is on the engine dies when i stop the car (pushed the brakes).It dies as if you turned off the ignition switch.

If the engine keeps running, does the idle speed pick up when you turn the A/C ON or stay the same? I believed the idle speed picked up when i turn the A/C on.

Thanks for your response

 

Can you double check that the idle DOES pickup when the a/c is on?

Also can you post a picture of under your hood, from the master cylinder to the intake manifold on drivers side? Good enough so we can see the vacuum lines.