I have had 6 Mustangs of different years and from a 4 cylinder to a fast V8.
Drove them year around, was a bit scary at times.
Then I needed a cheap runner and bought a Subaru wagon, installed Nokian snow tyres and was completely amazed at how easy it was to drive fast in the snow.
Not a fast car, but faster than the 4x4 trucks that were in the ditch.
The snow and temps you guys are having now are normal where I live.
Hope you get your car sorted soon and there is no damage to the engine.
This is from last winter, the driveway was clean when I went to bed the night before.
tyres that look like this don't hurt the cause either.