How many people are gong?
If you're ok with public transportation, You can take the Metrolink train from the Anaheim Station to Union Station, and then the metro red line (LA's subway system) and get off at the Universal City/Studio City exit. It's about a 1/2 mile walk to USH. There's probably a bus from there too.
At least, going there. Metrolink trains don't run late at night.