I just want to say thank you to everyone for this thread! I did this this past weekend and now everything is working on my 2005 KJ.
Summary of what I did for those out there.
Removed the grille, the crossmember to have access to remove the fan and then the serpentine.(you dont have to drill out the rivet holding the cover of the windshield washer reservoir. just slide it off)
Removed the battery with its tray and fuse box. the fog light of driver side just because the connector was in my way.
I had access to the back bracket nut with a regular ratchet thru a small space in between the fog light case and the body of the car.
The nut thats under the fog light, i got it with patience using a 10mm wrench from the space where the battery tray was.
To take out the hose from the pump you have to fix the hose fitting with either the flare nut wrench, which i didnt have. or you can use a stubby wrench for it. Is kinda hard to get but it works. I did it with a 22mm.
The one from the gear is really easy. with a 18mm regular wrench i got it out.
Put everything back again. Disconnect the return hose if you didnt before and put it out to a pan to flush the system next.
Then to flush the system I just followed this post
here
And that's it! hope you all have good luck.