hey guys... i already posted this over on jeepforum so if you read both sites this is the same issue.... i forgot there's a bunch of guys here who know far more about tires/differentials than i do.
long explanation short - i know with a limited slip you need to run the same size tires on both sides so that the clutches don't wear out. 33 on one side and 31 on the other is bad business. what if the tires are only ~0.5cm difference in tread depth?
i just noticed that my 2 rear tires are slightly different sizes, and the smaller one (right rear) has a nail in it. i took it off and put on my spare which is a brand new goodyear mtr but the tread is about about 0.5cm deeper... i essentially switched the tire with the deeper tread from the left side to the right, but the difference in tread depth is roughly the same.
is that small of a difference enough to wear out my lsd clutches or create a ton of heat and potentially break something? i'm taking the jeep camping in nh this weekend and it's around 160 miles each way so if i'm gonna do some damage i'd rather avoid it. i was planning on getting new/bigger tires soon anyway but i don't have any time between now and tomorrow afternoon to get them.
here are some pictures for reference...
the ruler i used (about .5cm from the edge to the numbers)

left rear (used to have deepest tread)

right rear (one with nail, shallow tread)

spare
