Just an added comment about “mleich” excellent list. The added weight over the drive wheels is what makes fwd superior starting off over many rwd cars.
It’s not that fwd is superior to rwd, it’s weight distribution. With proper weight balance many rwd vehicles can be superior to fwd in snow.
The other big problem with Mustangs, is that regardless of the winter tires, the floating of performance grade, low profile, wider tires works against you. When you do get (hopefully) winter tires for your Mustang, check with dealer about using the narrower, and higher profile tire for winter with the same outside diameter. That is as important in deep snow for performance cars as tread design, and why cars of old may have been better in snow even with older tire technology.
Apology for excessive typos…iPads are a pain to type with and make corrections and I’m often too lazy to get up and get the remote key board.