I just wanted to post to those of you trying to learn to bilaterally breathe that it CAN happen with time and practice. I knew I had to learn to breathe on my right side for triathlon, so I'd do drills and then every other lap had to breathe with my weak side. Now I can breathe on both sides and don't feel awkward about it at all anymore.

Although, I still can't breathe on only every third stroke. I do a 2-3-2-3 pattern. I do a drill where I force myself to breathe only every 3rd stroke. I'll make this longer and longer until I can finally do it for everything.