You can get in trouble in any car with the wrong winter tire.
You can get through about any reasonable situation in any car with the right winter tire.
I don't think this is a reason not to get an M3, providing it works for you in all other respects.
What was your test drive in the M3 like?
“Character is doing the right thing when nobody’s looking. There are too many people who think that the only thing that’s right is to get by, and the only thing that’s wrong is to get caught.”
- J.C. Watts Jr.