We just put Cooper AT3's on my gf's Liberty a month or so ago and I've been driving it since. I can tell you that these tires are FANTASTIC in the snow and on wet roads. Had it in some light yard mud and they did fine there too. They also don't see to throw rocks and pebbles much at all. I have run BFG A/T's on my truck and on a TJ, and I can tell you that I won't run them any more. The AT3's absolutely kick the CRAP out of the BFG's when the road is wet or snowy/icy.
The BFG's do look a little "tougher" thanks to the KO treaded sidewall, but I doubt that it really does much. The other thing to watch out for is that BFG A/T's tend to be much more prone to death wobble on solid axle Jeeps. My TJ is ok with them, but my brother went through two sets of 30.9.50's that both death wobbled no matter what we did, so he switched to some WalMart Goodyears and the problem was instantly gone. Same wheels, same size tire. I think it has to do with the wide tread profile or something, as I can't think of much else that would cause it, but it is not uncommon for Jeeps to get DW with BFG A/T's. Other tires in general don't seem to cause as much trouble.
YMMV.