Actually, atheists rarely refer to gods except when answering theists claims about them such as occurs on this site, such as every comment I'm replying to in this thread. Gods never comes up in daily life for most of us. Most of my friends are atheists, and we never discuss gods. Why would we?
And even here, few atheist actually discuss gods, but rather, the incoherent depiction of them such as gods being moral authorities while depicted committing moral atrocities, or existing outside of time, or being able to affect the world yet not be detectable by it even in principle, or gods granting free will while being omniscient. These are the kinds of comments that elicit god discussions from unbelievers, but once again, their interest is not in gods, but in sound thinking and revealing these incoherencies as an exercise in reasoning.
Is it so hard to understand that the Christian god, the one Christians call "God," is no more interesting to unbelievers than any other gods?
As I said above, atheists have no interest in any gods, much less an obsession.
Their interest is in stemming religious incursion into their lives as is occurring in the US now with abortion rights and transgender studies. I assure you that when Christianity becomes as irrelevant in the lives of unbelievers as all of the other religions are, atheists won't give it a second thought. How often do you think about or discuss Wiccans or Sikhs? When Christianity has that status, it will also fall of the atheists' radar as those have already. Atheists have no other interest in religions
Atheists don't reject either love or purpose. I'd say that they help define it. What atheists reject is religion and god beliefs, as well as the Christian vision of love and purpose.