I found tires called Snowtrackers at Sam's Club for $67/each. They look like aggressive light truck/SUV tires resembling slightly the low end Wranglers and such. My '99 OBW has been unstoppable since. I drove to work in the two major snowfalls we had and just by keeping my speed down, made it anywhere I needed to go without problem. The thing is like a little Hummer now.

 

The only bad thing about these tires is that they are a 65 series tire and since the car calls for a 70 series tire, Sam's Club policy is that they will not install them. I had to take them elsewhere to have mounted.

I've not got anything that new, but one thing that can happen is a bent trailing arm on the rear wheels.. If you've ever been off mobbing, you can tweak one of those easily. It's most noticeable when you throw it into 4 from front wheel, the rear of the car will "pass itself" as you described. They don't have to be badly bent, either.....