Two feet? Good lord. I find that if it's fresh snow, you'll just be skiing on it. Ultrawide fatties or not, if it's two feet of fresh powder, you're not going anywhere.
If I can't get around on my Jake with the Nokians (700x35c I think), I call it a day. Usually if there's that much snow, they declare a Level 3 snow emergency in this state, and no one is allowed out anyway. If I can't drive, I'll try biking. If I can't bike, I go back to bed.
I'm totally anti cleats in the winter. On patches where the road is wet, I've gotten water up in my cleats and they've frozen solid. Not good.