I had just posted on this topic in another area.
I just got my credit card in my male name 2 days ago. Got it by a simple request for another "authorized user." Have yet to use it except for an online purchase. (That in itself will be nice, just to order stuff and have it delivered in the correct name.)
I never get ID'd in general, but you are correct, I do run that risk!
My plan if that happens is to suck it up, fumble around and pull out the one with my legal name and say "Here, let's use this one." Not a very good plan, I admit!
Like when Austin Powers is getting lowered into the pool of piranhas (or whatever) with the agonizingly-slow-dipping-mechanism, and Girl says, "Austin, come up with a plan!" And he says, "My plan is to soil myself, regroup, and then come up with another plan!"