Yeah, just be sure they aren't Cooper Discovery tires. Ask me how I know.

I fully agree with Markuson (as if he needs me feeble recommendation) that very strong rock sliders are highly recommended - especially for Mineral, north side of Imogen, Yankee Boy, and Pole Creek area. There are photos on this forum where members have done serious damage to lower body panels. I've said it on this forum way too many times that last summer our family did a ton of trails between Ouray/Telluride/Lake City in a stock '08 with stock-sized tires and average A/T tires by Yokohama and no extra 4x4 gear. You'll be going with a solid group which will be huge in your learning curve, building confidence, and making some great connections. My profile pick is our '08 going up the west side of Engineer Pass (which I don't recommend doing during sunset unless you want the sun beading directly in your eyes).
Don't be surprised if you see a Prius or Civic on the trails. Just smile to them and don't try to understand.