Binaural recording and playback is awesome because of the spatial localization reproduction. It's almost true 3D. Left, right, up, down, forward, back, and distance are all reproduced fairly well. The only catch is that you have to listen to it in headphones. Earbuds actually work better, since the shape of the outer ear (Pinnae) is already accounted for in the recording, so if you use cans, you are just going through the outer ear again. That fact aside, an unaltered binaural recording is going to sound funky through studio monitors. This is because the recorded binaural signal already has localization "imprinted" on it, and when you listen to speakers, your ears are going to localize the sound again. You cannot prevent the right ear from hearing the left speaker and the left ear from hearing the right speaker. This isolation is only possible with the use of headphones.
You can, however, CONVERT binaural to stereo for playback on a pair of speakers using a loudspeaker crosstalk canceling system. This can be either software conversion or a hardware converter You can pull it off with most binaural recordings fairly well, but it works best with a Binaural Impulse Response (or BIR). There's a good article about it here. AES has an article about it as well, but you have to purchase it. If you're interested, it's located here. I've done a ton of work with binaural, so if you want to know more about it, let me know.