But non believers make no claims
Some do.
....and it depends upon the area in which those claims occur.
For instance, there are those non-believers who are simply that: non-believers. They 'don't believe' in a deity. Now these folks aren't making any claims; they are simply waiting for someone to prove, to their satisfaction, that some deity does exist.
BUT...
There are those atheists who take that one step too far; those who claim 'there is no such thing as a god."
Oops. THAT is making a claim: a very big one, and they've just assumed the burden of proof.
Then of course atheists are just people who have an opinion about religion and deity. These people are just as likely to have weird unsubstantiated beliefs in other areas as any theist: global warming caused mostly by people and the sky is going to fall if we don't stop the evolution of earth's climate cycles in its tracks, ancient aliens, alien abduction complete with anal probes, faster than light travel (oh, wait, I'd like to see that one), telepathy, telekinesis, clairvoyance, dowsing, Obama isn't a true American citizen, Bush arranged the destruction of the Twin Towers, Kennedy was killed by the CIA because he found out that the CIA killed Marilyn Monroe, Clinton arranged the murder of his investment broker, Republicans want to push grandma over the cliff...yadda, yadda, yadda.
I don't see any superior moral, ethical or intellectual superiority in someone simply because he 'doesn't believe' in a deity. 'Course, the same thing is true for theists. I'm an equal opportunity curmudgeon.