with you truck being a 2002, the bolts should come out pretty darn easy. But I have to agree, use some penatrating oil, and let it soak.
Once you have your hangers off and the bolts out, you are ready to slide in the new catback. You shouldn't need to do anything with the diff. I slid my stillen exhaust in both from the back end of the truck and from underneath with no problems. I suppose you could jack up the frame to get extra clearence, but i didn't see any reason to do so.
Happy install, what cat back system did you get?
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