Right, I don't have any problem with that. I don't expect you or anyone else to believe there is a god (although I would suppose you believe there is a god, namely Allah seeing your avatar).
Yes, but mine does not actively interfere in our universe and does not exist as a physical entity.
But just because they BELIEVE there is no god doesn't mean that there isn't. They still have to prove it just like I do.
If they believe that your God does not exist they are merely taking the rational position (that is, unless someone demonstrates your God's existence.) If they claim to know for sure that your God doesn't exist, their position becomes irrational.
A better example is if I stuck a cup on the table. One person said that there was nothing under it and another person said there was something under it. Who's burden of proof is it?
The burden of proof lies with the second person unless evidence of something under the cup is immediately obvious.