Mate, you can't be serious.

Fixies were the very first bikes. They've been used in circus and cycling performances all over the world for... decades before 2007. -_-;;

And for anyone that might be having the same problem, check your seat. I let my friend try my fixie, who prompty forgot my 10 minute lecture on "YOU CAN'T COAST" and "YOU HAVE TO CLIP OUT BOTH FEET." It landed on the seat first and that tilted the seat just a little... not enough to notice it when I sit my ass on it, but enough to offset my weight and make the bike tilt left.

You can fix this mid- ride be leaning a little more to the right or getting a new seat post / seat. You can try to fix it, but if it's following a crash or a hit, it's more time than worth the money.