This discussion makes me sad every year because so many people love to flaunt their ignorance, disguised as a strong opinion, on this subject.
ViperGTS cited a REALLY good article from TireRack, so I will re-cite it and add two more.
AWD SUVs, winter vs all-season
http://www.tirerack.com/tires/tests/testDisplay.jsp?ttid=109
Sedan 2WD, winter vs all-season
http://www.tirerack.com/tires/tests/testDisplay.jsp?ttid=103
Sedan, winter vs all-season vs summer
http://www.tirerack.com/tires/tests/testDisplay.jsp?ttid=116
So, for the sake of argument, let's assume that all of the vehicles used in these studies are traction-limited. This is a good assumption given that even a geo-metro could spin it's tires in snow if you tried hard enough.
First, let's compare the braking data from 30mph from the first two articles:
2WD snow = 59ft
2WD all-season = 89ft
AWD snow = 61ft
AWD all-season = 102ft
My conclusion from this is that in both cases they are traction-limited and that snow tires have much more grip in braking and the weight of the vehicle has a very small effect compared to tire selection.
Moving on to acceleration....
0-200ft acceleration times:
2WD snow = 8s
2WD all-season = 11s
AWD snow = 6+s
AWD all-season = 8s = 2WD snow
My conclusion here is that in snow a 2WD sedan with snow tires has
the same acceleration performance as an AWD SUV with all-season tires. AWD+winters is the best, and 2wd+all-seasons is the worst.
Now, looking at turning (in the 3rd article) the picture says it all:
So, what have we concluded:
AWD+snows - best in braking, turning, and acceleartion
2WD+snows - best in braking, turning, and 2nd best acceleration
AWD+all-seasons - worst in braking, turning, and 2nd best acceleration
2WD+all seasons - worst in braking, turning, and acceleration.
This matches with all of my own personal experience that includes AWD+snows, AWD+all-seasons, RWD+snows, RWD+all seasons, and FWD+snows. My driving locales include NH/VT, Colorado, and even the frozen wasteland that is Canada.
TL;DR - no, your AWD+all seasons aren't better than 2WD+winters.
Mad lulz at trying to get stuck in a parking lot. Seriously? That's the bar by which you judge your traction performance? That is
laughably silly. Example: at the apartment where I used to live we had to move our cars when the plow guy came around. One night, when there was about 16in of fresh snow, I had to move my FWD MS3. I backed it out of the parking lot, but then had a hard time driving up the road to park. Turns out that I had left my e-brake on while I was backing through 16in of snow. Trying to get stuck in a parking lot is like trying to drown yourself in a bowl of soup.
You'd be swapping 4 tires, having different tire diameters on the front and back damages the center differential.
Or... you know... just get one tire and have it shaved to the right diameter.