You're eliminating the center diff, because if you're not using a front diff, and you lock your center, it's really only like you've got one diff (the rear, the old center "diff" is now just a part of the driveshaft).
By putting JB weld in the diff, you're locking it up sending 100% of the power through to the rear wheels (assuming you're not using your front diff anymore, and if you are using your front diff, you're then sending 100% of your engines power straight through the center diff).
Save yourself some money and don't use JB weld or anything like that. Just get some 300k diff oil...that'll lock up the diff probably 98% of the way, and when you're done experimenting you can clean it out.