I've had my LC for about 18 months now. I've gone from stock to the usual mods in that time. I went from Michigan, to Colorado, to Montana, where I am now. And in that time I went from stock hwy tires, to 265 MT's from Treadwright (retreads), to the 255/85 KM2's. 31" to 32" to 33". It's our family's only vehicle as we're both students and we have two small girls. We live in Montana so there are plenty of opportunities to do various off road and backcountry trips, which we take year round. The Cruiser is a big part of our life and all four of us get our share of input on things.

princess: really wants a snorkel)
That's the background and context. We love the KM2's in 255. Just love em. Except for one thing. Ice. They are quieter and smoother on the road than the wide flat tread we had on the Treadwrights. The KM2 has a pretty darn narrow contact patch when aired up and it's fairly curved, kinda convex seeming. Plus, the lugs are like small thick brownies with a fair amount of space in between them. They are amazingly quiet in my opinion given their design.
However, those solid pieces of rubber on that narrow curved tire means you don't hardly have any ice traction. I mean 360 degrees it's an issue. You have to be really careful on sheer ice. I've even found myself throwing it into reverse as I was about to roll (w/ABS) right through a stop sign into oncoming traffic. That only happened once and was part of my learning curve this winter. It did stop in time, but I had already shifted to reverse too. A little scary at first. And naturally they do sink a little more in snow than a wider tire would.
That can also be tricky. These tires dig. So, recently I very quickly dug and sunk about 10 inches or so and was stuck. Stuck w/ 3x locked. I looked around and I wasn't even touching the axles, high centered, or any of that. I figured it out pretty quick. The tires had turned the holes I was sitting in into icy upside down wheel wells. Again, no traction on ice with these tires. I was just spinning four tires in smooth icy holes. Was that easy to fix, absolutely. I was only stuck about 4-5 minutes. All I really had to do was shovel around each tire enough to get the smoothed out part gone and get a couple of inches of momentum going. Reversed right on out of there. The good news is I got further up that mountain road than anyone has yet in a wheeled vehicle. I just use this as an example of this one problem as it is something I've had to adapt to. However, I get great traction in and on snow. The flip side of the ice issue is that when we had 16 inches of snow here a month ago I could not get stuck and I pulled literally dozens of people out of the snow.
Having said that, I feel super secure on them because I "know" they are an amazingly well built tire. I got mine at Costco and I like to get them rotated and balanced pretty often just to be safe.
I don't think it fits well under the rear though. The 32" was fine, but I think the 33" rubs some. I've considered putting it on the roof rack till I can afford a rear bumper with tire swingout. Whatever that problem is, I think you'd have that with any 33" tire.
I do wish there was a 35" skinny KM2 but I'm happy with the 33's. They look just right with my deflared body and 2.5" lift. I'm so happy with these that I bought a $400 set of studded chains because I intend to replace these with the same tire some day.
The ice issue just means drive carefully or get some cables or something if you have ice a lot. I have even recently looked into tires again and I can't find anything that I would swap out these for.
Good luck!