That looks like a great idea. With the right plastic and tire it would work great. You could even add a screw to make sure the strap does not come out of the tie.
Hmmm . May be a emergency fix for getting home , but to me that looks like a disaster waiting to happen. If you live where it snows , buy proper winter tires.
I won't go near the ice without my freddie's
With these , you can ride places unfit to walk.
edit: One thing , and this is important.. Do not hang your as back over the seat when going downhill. Or as the manual says "please prevent assmunch"