Silicon Valley’s biggest egos are about to get a reality check — from a no-nonsense Bay Area judge who doesn’t care how rich they are. When Elon Musk and Sam Altman square off in a high-stakes courtroom clash next week, they’ll be staring down US District Judge Yvonne Gonzalez Rogers — a judge with a reputation for swatting down billionaire entitlement. The Oakland-based judge already made it clear: no VIP treatment in her courtroom. Judge Yvonne Gonzalez Rogers has been compared to TV’s famously sharp-tongued Judge Judy. AFP via Getty Images Musk’s lawsuit centers on OpenAI’s shift to a for-profit model — a move he claims blindsided him before he walked away from the company. Christopher Sadowski for NY Post After pushing the case to trial, Gonzalez Rogers warned attorneys their big-name clients won’t be slipping in through private entrances or dodging the usual rules.…