This may sound like a cop-out, but when they say "be who you want", that really is the point of the Elder Scrolls. Not preventing warriors from picking locks, thieves from casting spells, physically weak Elves from using two-handed hammers. Seriously, any race makes sense. Leave 'it should be this race, it should be class' for other games.

Not this reply again. >_>
OT:Imperials, Nords and possibly Bretons.
Also, there is a chance that Khajiit are related to Ka Po' Tun, a cat-like race from Akavir which can turn into dragons (a rare and hard, but possible feat), but I don't think that it has anything to do with being a Dovakhiin.