I would wear them. I have prescription sunglasses and in WDW (or any sort of amusement park really), I wear them indoors all the time. I keep my regular glasses in a case in the stroller, so if I forget to switch them, I'm stuck with the sunglasses. Including inside dark attractions (like Mickey's Philharmagic, for example). It's not ideal, but I literally wouldn't be able to see the film/show/ride otherwise cause my eyes suck, so sunglasses it is!
And they are regular DKNY sunglasses with a prescription lens, so you can't tell that they are prescription at all. I guess people just think I am a drug addict, trying to avoid people, or one of the other things posted!