Probably low on freon.
When you have the heat on and select defrost / demist position to clear your windows , the air conditioning compressor cycles on and off to help de-humidify the air - at least that's the way it is on my 1995.
The refrigerant level is low.
Maybe a 4 cylinder and just reacting to the additional engine power draw of the air conditioner compressor noticable as compressor cycles on and off
If you have " defrost " selected the compressor cycles on and off if it's not too cold outside in order to dehumidify the air - that's normal
an automotive AC has a thermostatic switch that cycles the compressor on and off in order to control the temperature within the evaporator core and keep it within a certain range, much like the thermostatic switch in a refridgerator.
Either the compressor is not on, or is not working. The pressures are supposed to equalize when it kicks off- either when you turn it off or when it cycles and cuts itself off for a minute. If the compressor is on and engaged and you are still reading equal pressures, it has gone out.
Compressor will normally run when in defrost mode.
On my 1995 Ford Explorer when the defrost position is selected , and the temperature knob is set in the red area to get heated air to defrost the windshield , the A/C compressor will cycle on and off to help dehumidify the air, but the compressor ONLY cycles on and off in the DEFROST POSITION ( sorry if I'm misinterpretting your question )
Things to check first: Turn on the A/C control - open the hood and look at the compressor and observe whether or not the clutch is engaging (clicking on and off). If it isn't then check the fuse/electric relay that control the compressor. If the compressor operates but cycles rapidly (clicks on and off), that could be a sign of low refrigerant, have it checked. If these easy do-it-yourself checks are inconclusive then you need a mechanic.
There are many reasons why an air conditioning compressor might not turn off. There is likely a wire that is not connected properly.
Because it also starts the air conditioning compressor which cycles on and off loading up the engine which changes the idle
Bad low pressure switch or low on freon if in AC mode, If in Defroster mode the AC comp cycles off and on the prevent to hot of air hitting a frozen windshield to prevent cracking