No doubt this false sense of security (and driving talent/experience) comes standard with most 4WD/AWD/4x4 vehicles.
When I had a 4x4 SUV, I even found myself having trouble keeping in mind the fact that I wasn't invincible.
My girlfriend and I were in Illinois a few Christmases ago when we found ourselves having to begin our 5-6 hour drive after 5-6 inches had already fallen. Even in IL, those country roads were not cleared one bit. We were in a Hyundai Sonata (4-door sedan, front-wheel drive), going maybe half the speed limit. We encountered numerous vehicles in the ditch, almost all of which were SUVs. We did end up doing a 180 in the middle of a straight road (presumably hitting some hidden ice under the snow), but we were able to at least make it to a major city in Indiana where we gave up (having gone half our distance in 5-6 hours) and stayed the night.