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I run 33 x 12.50 tires on mine, and have had no problems.
I would imagine that it would have no ill effect at all with normal driving, since the larger the diameter of the tire, the less the tire will be rotating over a given distance, but if your going to be doing burnouts with the big tires, they will probably not want to break loose as easy as smaller tires, and if they hook up hard, or get axle wrap, that will put more stress on the differential.
Thats a tough ? to answer because your driving style will have alot to do with the life of the clutches. I would say what your concerned about is no worry. Turning a corner will still cause the clutches to slip. You will have more tire contact but I don't think you will a difference in life if you tried to compare the two. Even if you tried to compare the two you would have to make the same amount of turns in the same conditions to get any accurate results.
I do warn against tire burn outs with large tires. The stock trac-loc cover will explode under those kinds of loads with big or sticky tires. I have a blown unit in my garage now from a truck. It had vlown so bad it cracked the carrier cap as well as the trac-loc cover. This would be my biggest concern, not clutch life.