That seems an oversimplification.

Afaik, atheism is more an absence of a belief in any deities. Sort of a "I do not believe that this is justified, based on the evidence I can currently see" rather than "I have definitive proof that no God or gods exist".

Though like everything else - Christianity, politics, gender, which Star Trek meme community you enjoy visiting on the Fediverse - it is all things to all people, yet not equally so.

Most first-generation atheists are extremely angry at the religious systems & peoples that hurt them, so it is tempting to extrapolate that to the general definition that that is what atheism is, but that would be like saying that conservatives are uneducated (as in, mostly true, but yet... although...). Though I also think that this is less true than it was, e.g. fifty years ago (regarding atheism I mean, whereas for conservatism it is probably the other way around).

Switching now to talk about religion, I think that to the extent that ANYTHING is hypocritical, it proves that it is false. e.g. "pro-life" policies that kill people rather than affirm health, people who show up on January 6th to "defend" the Constitution but who actually attempted something that while very inept yet still solidly lay within the definition of a coup, religious ~~fruitcakes~~ no yeah that's actually what I intend here, nutjobs is another word, but also fanatics, who ignore the very teachings that they claim to be "holy" (Love one another, do not heap heavy burdens upon others, the worker deserves his wages, etc.; btw did you know that there was one group of people that Jesus literally hated? No not the people at the temple predating upon the poor & ignorant - yeah he whipped them and then moved on without giving them much thought later, while more generally he talked about such false believers A LOT, calling them e.g. "whitewashed tombs, looking good on the outside but inside full of rot and decay"), the list can go on and on.

Yet the fact that bad examples of things exist does not negate that good examples of things can also exist. I love this verse: "Want religion that is pure & holy? Then take care of widows & orphans." (James 1:27, essentially talking up socialist healthcare policies millennia ago) People who actually show kindness, gentleness, concern about human well-being, whether they be atheist or Christian or Muslim or Mormon (capitalizing those as proper nouns while the former is not?) or whatever, I don't even care, I just stand with people who actually give a fuck. Especially over those fuckwits who claim to believe in one thing while simultaneously believing the precise polar opposite of that exact thing.

Ahem, anyway there are multiple types of atheists. Some just don't really care, while some are outright militant, and I understand both POVs. There are several sub-categories of atheist too - implicit vs. explicit, weak vs. strong (e.g. a child who hasn't been exposed to religious ideas is a weak atheist, not having made a conscious choice to reject that category of thinking), positive vs. negative, etc. I'll leave you with this interesting (to me) quote:

In fact, "atheism" is a term that should not even exist. No one ever needs to identify himself as a "non-astrologer" or a "non-alchemist". We do not have words for people who doubt that Elvis is still alive or that aliens have traversed the galaxy only to molest ranchers and their cattle. Atheism is nothing more than the noises reasonable people make in the presence of unjustified religious beliefs.