Agree with @Gumbymom.
There are NO guarantees that going to one of those universities will give you an advantage for the in-house med schools. (Berkeley doesn’t have one). These are two completely different divisions.
My neighbor is on the interview panel for UCSD and she has nothing to do with their undergraduate pre-health students. Most of the accepted candidates are from universities, throughout the U.S., with a combination of graduates from private and public colleges. The last accepted candidate she remembers was an impressive student at Scripps College.