I'm sure that's the case but if that wouldn't bring you any closer to accepting that not having a belief in God isn't a claim so doesn't require evidence then would seem a waste of time.
Then if you agree that your position is susceptible to socratic analysis then you might agree that it is such analysis that draws a claim of God from a simple statement like ''I have a belief in God''.
Socratic interrogation also brought out that someone in the light of his perceived a commitment to ''no god'', Dawkins comes down to probably God does not exist, and dear Hillside positively asserted there was no cogent logic for God........... all positions and claims demanding proof/evidence.
You say that you have no belief in God that could cover a number of positions belief in no god, no belief in God, choosing not to even think about God, etc. NOT just no belief in God which is claimed and as Professor Anthony rightly calls it a 'fix' to try and avoid it's own evidentialism.
Which brings us to a claim and position I am sure socratic analysis if not logic will unearth from you.
Dr Anthony rightly established the evidentialist thrust of the New Atheism.
Let's hear it from 'extraordinary claims demand extraordinary evidence'.
So the claim in atheism is that No God is the ordinary and God is extraordinary. At this point I would usually say 'jump to proving/demonstrating' your claim but it probably needs to sink in.'