Likewise have used both FSX and P3D - have been with X-Plane since v8. In X-Plane I fly the Laminar C172 pretty much exclusively. With a dry runway, I find the braking adequate / realistic - and, yeah, with snow the coefficient of friction does seem to go to near zero (so I don't fly in snow).
As for the flight characteristics you question, I don't see this at all. The model for the C172 seems quite realistic, crabbing, side / forward slips, stalls, etc., all are close to the real plane - however, with any serious cross winds, the plane does has a slight over-tendency to weather vane. Just a student pilot here with slightly over thirty hours.