They just now started making strict rules in Florida...so no, I didn’t have to show my birth certificate when I got mine years and years ago. I haven’t shown up at a DMV for years either, I’ve renewed by mail. I did have to show proof of residency, but anyone could have that.
Each state sets their own rules, I think NC has the easiest rules to get a driver’s license. Check it out, you don’t need a birth certificate.
I had to show my BC in Texas years ago.
Since the attacks on September 11, 2001, Virginia has really toughened up their license requirements. Now you are required to provide your long form birth certificate if you want a driver’s license. I believe existing license holders are grandfathered, but my wife, who moved here from Michigan had to provide her choice of a long form birth certificate or U.S. Passport.
Now Virginia has switched to these high-tech licenses. They are ugly but supposedly are more tamper proof with regard to faking.