It might actually work... only way to find out is to do it.
Problems you may encounter: finding a BB spindle that will work and give proper chainline on both sides (at least on the first try). Finding a pedal to use on the left side, where you will be running a left crank (unless you use a tandem crankset). Of course, this could be solved by using a clipless pedal such as the eggbeater (but i suppose you would need 2 pairs), or by using flat pedals where you could attach a clip and strap to the "wrong" sides, or by using whatever pedal you want for clips and straps and rebuild the left with the spindle from a right pedal.