The factory installed unit uses a hard mounted antenna by the rear lift gate. The dealer installed OEM unit uses a magnetic puck.
Instructions to remove the console are here:
I would pick the power off of the cigarette lighter, then hardwire and mount a 3 port lighter box like this on in the console (you can never have too many power ports):
You can also go with your idea with the dash and mount the 3 port in the glove box. Don't be afraid to drill small holes to run the wires, especially where no one can see them. It's your jeep, so unless it's leased, hook it up.