I've always read to use MS5931 power steering fluid only. Make sure that's what it's filled with. Also have someone turn the Jeep on and with it still in park turn the wheel lock to lock. Make sure the low pressure and high pressure hoses aren't contacting each other. You can swivel them apart to create a gap. Binding up like that can cause the pump whine.
Also, you have a 4.0L inline 6, not V6
04 WJ - 4.0L and Selec-Trac
BDS 2", 3/4" spacers, Bilstein 5100, and 31" General Grabber AT2's