WildCowboy said:~snip~ To the general public, Berkeley has a higher reputation than UCSD. That's in large part a function of Berkeley's long (by California standards) heritage when compared with UCSD's relatively recent founding. ~snip
If it helps, I can only reinforce what WildCowboy has said about general public perception. Speaking from England, and obviously my own opinion, Berkley is well-known and has a very good reputation here. Pretty much in the same league as Oxford/Cambridge here. When I was considering post-grad work in the USA, the big ones were Harvard and all that lot on the East coast and Berkley on the West.