Ok, but here is the thing.
Physical appearance is so utterly trivial to change that it isn't even an issue. You want a Tiefling with cat eye's and that is it? Feel free. Shaggy green fur? Sure.
Altering your appearance is the most basic of basic things you can do, so it is not something to make a big deal out of. And some people like the change, they like the new aesthetic and the standardized look.
And, just to reiterate what a different poster said, they aren't going to be "normalized" by the people talking about the "weird races" because everything that isn't an Elf, Human, Halfling, Dwarf or occasionally Gnome is "weird". Same to pre-4e Tieflings according to this crowd. So your solution wouldn't even do anything.