It's hard to know exactly what you are experiencing without seeing it first hand. It may be the motor mounts are worn. Do you think the engine is moving when you turn on the A/C? Can you describe what "pull" means? Does it happen at idle or anytime when the A/C is turned on?
Thanks for the added description. The A/C compressor will use quite a bit of power to operate, and on a smaller engine you will feel that power loss much more than if you had a V6 or V8 engine. This is normal to some degree. If you feel that it has gotten worse over time than there may be something happening with the engine management system. When the compressor turn on, the engine idle speed should raise a bit to compensate for the extra load, but if it doesn't the load will be much more noticeable. If you have a tachometer, check the idle speed with and without the A/C on, and let me know what the readings are.
The pull is not like the engine is moving. It feels like the power in the engine is affected. I guess a better description would be a power drain. When I am driving and turn on the air I can "feel" it suck power from the engine. I am afraid to use the air for street driving. I will only consider using it for freeway driving with no stop and go traffic. Thanks for your help.