How exactly do the Royal Family think they're better, when have they ever gloated or looked down on others? They're born into something and given a duty, are you saying you think they should all just volunteer to close down Buckingham Palace, give away all they own and declare they're going to scatter themselves all around the country living as ordinary people who weren't born into a high status family?
Again, what has getting out of their way go to do with anything? You make it sound like they've shown you some sort of personal disrespect, talked down to you in some way or pushed you aside.
I just don't see what your gripe is with something that has been around for hundreds of years and is part of British identity.