Well, if you can convince your warranty company that the diff going was not due to abuse, they would probably pay the cost of the stock diff and the install labor, with you picking up the difference. The Quaife is $595 FWIW. Your diff is definitely FUBAR from what I can tell.
I'll tell you what, as far as your time - that's pretty d@mn amazing, so don't be surprised at people calling BS on it. Especially since you have an intake and removed resonator as your only listed mods (I don't count the +4's as a performance mod).