There's a thread "show us your black bikes" where there's images of someones LSD fixed gear - my buddy also did the same (thinking he was original at the time, and somewhat so) - he had to get his pedal axles changed and his cranks are basically on 'til the end of their life through excessive loctite due to the initial pedal problem pre-axle swap. He got the drivetrain aligned by Smoky at our local co-op place (CBN) and all was well. It works out fine, only the bike balance is off due to the frame wanting drive on the right - not something he notices unless doing tricks.

The only problem he has had was his first day on the job as messenger and having one of his pedals come loose and fall off, lots of loctite later, he then had the axles swapped over and all was spiffy. Other than that, works just the same.