In no way should this be construed as defending what the City of Berkeley is doing...but the 14th Amendment does not apply to cities...or at least, that's the way it is written. Now, if their actions are endorsed by the State or if the State's constitution contains similar language...then you can make a case.
AMENDMENT XIV: ... No state shall make or enforce any law...
the 14th Amendment does not apply to cities...
Isn't Berkeley a subdivision of the state? If not, are you saying that a city can treat blacks differently from whites, and violate equal protection in other ways, because it is not a state?