It's coming. They already have show standards.
All it'll take is one ranch (probably in Texas) with a breeding program and we'll have a truly domesticated strain of zebra. It took 50 years to
domesticate foxes, but zebras may have a leg up because they've been bred in captivity for so long.
What happens after that?
(Click to see larger version)
(That mini zebra may be the cutest thing I've drawn in my entire life.)