Who said a god was actively pretending or being deceptive?
Not making itself known would be a form of deception, especially when there are people who desperately wish to believe in such a thing. And considering we see no "fingerprint" of divinity in existence, the belief that there is no such thing is a rational position--again, the result of deception.
Both of these seem to rely on an assumption of a personal god, which is typically self-reported as "revealing" itself to those who espouse it.
Aren't you? After all, you seem to be arguing that choice is important to God; the very idea that God has a preference means he is a personal god.
Most who espouse a belief in a god find plenty of evidence in the world around them for its existence, regardless of whether you arbitrarily limit what you consider evidence to what science is capable of addressing.
Would you say for the people who have seen "plenty of evidence," that they have no other choice as sane human beings but to believe?
Only those who espouse some belief can make claims about what it entails, which here excludes you, an atheist.
This is a logical fallacy. Why would someone need to believe in a concept to make claims about it?
We have to make choices all the time based on insufficient evidence, so that argument is a red-herring.
And we make irrational choices all the time, as well.
If a god made an "unmistakeable public appearance" then no sane human could deny its existence, any more than you can sanely deny the existence of the chair you may be sitting in. I.e. no choice whether or not to believe it exists. Or would you like to claim that you can wholly disbelieve your chair exists and still manage to be sane?
Sure they could. One could easily believe that the "unmistakable" public appearance was a hoax. Even if it takes cognitive dissonance, it's possible. We see it all the time with conspiracy theorists, who believe, in spite of blinding evidence to the contrary, that the WTC couldn't have fallen due to the impact of the planes on 9/11. Sure, there are crazy folks among their number, but not every Truther is crazy. They could simply choose to believe what they want to believe.