***Neither a teacher nor a native speaker.***
I believe that when you say "How does it feel...", it's similar to "How is the feeling...".
How does it feel to be a hero?
How is the feeling to be a hero?
I'm not 100% sure if native speakers talk that way, but I don't see a problem here.
Probably it's: How does it feel to be one of the beautiful people?
Maybe you could also ask, "How does it feel to belong to the beautiful people?"
(However, I don't say your version is wrong yet I'm not really sure. )
Student or Learner