That's actually my Jeep. I didn't feel like buying anything so I used what I had laying around. There were no problems getting the race out. Or you can just rent a axle bearing puller.
There isn't much holding the race in and usually once you get it to move it will be easier and easier to get out.
Didn't know, cool.
I was thinking about trying one of these set through a plate or or the 2/3 jaw combo puller.
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http://www.harborfreight.com/rear-axle-bearing-puller-set-66380.htmlRear Axle Bearing Puller Set
Item # 66380 Manufacturer: U.S. General
Allows you to easily remove semi-floating rear axle bearings.
■Includes the following sizes to fit the main bearing tube ID: 1" to 1-7/8", 1-5/16" to 2-3/8", 1-3/8" to 2-7/8"
■Works on most domestic cars
■Stored conveniently in a blow mold case for easy storage and transport
■Cast steel construction
Requires a 2-5 lb. slide hammer with 5/8"-18 TPI threaded adapter (not included).
Lead screw: 9/16"-18 TPI diameter x 5-1/2" L
Lead screw: 3/4" drive x 5/8"-18 TPI
Shipping Weight: 3.00 lbs.