Dodge a/c blows warm while idling

im just guessing from the flap door moving it's in the body control module (BCM) it controls heater defroster and a/c

either you have a bad thermostat or you have a air lock in your heater hoses remember your heater is fed by the hose by the upper rad hose return is the hose going to the water pump, to bleed the air out fill rad leave the rad cap off start engine run for 5 min. the check the coolant level,fill to top of neck replace rad cap tight, K-D tools make a special funnel to solve this air lock problem

Most likely U Joints in the front axles. These will only turn in 4 wheel drive.

the a/c r134 charge is low or there is a restriction in the orifice tube. Have the a/c system checked for a low charge first.

Take the car to Dodge automobile shop for repairs.

start by cleaning or replacing your in cabin air filter. check to see if your AC condenser fan is turning when the AC is turned on. Make sure the front of the radiator is not clogged with bugs, mud, etc. Check AC compressor relay-make sure the compressor clutch is turning the compressor with engine at idle. lastly check for proper refrigerant charge.

Check the following:- Map sensor, Air flow sensor if fitted instead of map sensor and the engine coolant temp. sensor. When did you last replace the air filter?

I had a 2001 Dodge 3500 with the same issue. In my case, the "air blend door motor" failed. I had it fixed at a Dodge dealership - the motor itself was only about $125 but it cost another $900 for labor - they had to remove the dash & center dash console in order to get to the motor. It did fix the problem though.

check to see if compressor is running when it starts getting warm with car running ,if so, see if larger line is cold 

You probably spun a main bearing