Petty as that sounds, Blizzard has shown no qualms for extreme race restrictions like how Demon Hunters are confined to Elves. I don't know how people who have been rocking this class for a long time now to get a feel for it think of it though.
I've been playing this class on an alt for my enjoyment, and I didn't even think twice about race: Of course it had to be Pandaren, they're synonymous with it and gear sets are literally catered to their physique and design most.
I actually find it amazingly sad how the race and their culture is the absolute face of this class and most represented in the class hall, yet they are not well-represented by players themselves. I've seen more Gnome monks and orcs in awkward asian getups than Pandaren after MoP passed by to now.
It's something you just breathe in after playing the class for a while if you think about it.