I respect all believers (religions of all varieties) rights to believe whatever they wish.
What I don’t respect is what those believers do in the name of their beliefs, especially if it impacts negatively on the rest of the population that doesn’t happen to believe in their particular brand of belief. What I don’t respect is believers trying to force their beliefs on others, particularly when those beliefs are not backed by any evidence whatsoever. I don’t respect believers who indoctrinate their children into their beliefs. I don’t respect believers who prevent condom use, prevent abortions or euthanasia purely on religious grounds not any logical or scientific grounds. I don’t respect beliefs that encourage people to harm others purely because they don’t have the same beliefs. I don’t respect beliefs that subjugate women or children and that discourage scientific investigation and research. I certainly don’t respect that governments hand out billions of tax dollars to religions purely because they promote religion. Just because it’s “religion” should not automatically mean it gets respect.
As Richard Dawkins said recently about Muslims [paraphrased] “… it’s because I fear you, don’t ever think it’s because I respect you”.
In other words, I respect your right to believe but don’t expect that I’ll respect you simply because you believe in some form of religion and/or god(s).
How can you not believe in atheism? It’s like saying you don’t believe in non-stamp collecting. You don’t have to like the idea that there are millions, if not billions, of people on this planet who are atheists, but you can’t not believe that such an idea exists. Whilst ever there is a principle called theism there will be a principle called atheism.