Re: 2003 Jeep Grand Cherokee Limited 4.7. Air is hardly blowing.
The blower motor connectors are well known to give problems. They probably start getting a bad contact over time and the (low) resistance heats it up, causing it to melt.
Attached the wiring schematic for your reference, but i think that if you just swap the 2 wires from the blower motor to the controller, that you just reverse the direction.