Hmm, this be a tricky topic. I think most of you know my feelings on newer players (and for sake of the lobby, I wont say it all again and sing "why can't we be friends").
To be perfectly blunt, I don't think removing levels or any way to tell will help because those that value elitism will still use any way they can to show off.
You'd have to take away badges, take away unique costumes, remove the ability to even look at a profile to see anything. And even then, it wouldn't work. They'll say what levels and accomplishments they have and why you better listen anyway.
And, if you notice, people are finding other ways to show someone is good at something. Be it showing games played, the number of commendations, only your title...it's still showing a form of rank.
Anything at all will still put a value on being good at something, even if that something is being polite. And some people will use that as a reason to listen to them then someone else. I'm not saying it's a bad idea, its just that when it come right down to it, you can't make rules and settings to stop judgement. People will find ways. I mean, I've seen people get judged simply on the way their voice sounds. Removing levels isn't going to fix against that kind of mentality.
And honestly, having levels gives people something to shoot for. People will grind "I need level x before bed!" And giving away gifts and costumes and decals for it keeps people playing.
What we can do is foster a positive community and reach out for those that need to learn. Play by example. Actually, seeing discussions like this are a good thing, being it shows that the community cares.