I've got the Michelin XCX APT's (similar to the LTX AT) on my Jeep Cherokee.
My honest opinion: If you are looking for a quiet, nice riding, and extra long wearing tire, these are a good choice.
If you are looking for excellent wet, snow and ice handling, look elsewhere. I much prefer the Bridgestone Dueler REVO's. On ice, I have been quite unhappy with these tires. Wet and snow are fine, but there are choices that do better.
And they will last forever! I have 40,000+ miles on the set on my Cherokee, and I have 9/32" tread left!