I'm afraid you're mistaken. Theists are satisfied with the cosmological, teleological evidence, and so on.
Sure. You're satisfied with it, but you've said yourself that matters of evidence are secondary for you. The belief comes first, the rationalisations afterwards.
Arguably, of course, there is no cosmological or teleological evidence for God. Philosophers have been around that block lots of times, and the usual philosophical arguments for God are all either flawed, or else inconclusive.
The problem is, you cannot specify what you would regard as evidence of God.
Not very long ago, I took a little time to set out what I would regard as sufficient evidence. Have you forgotten?
Atheists are the ones who are not fussed about evidence. You just reject, and deny.
Denial requires that something has been established as true. I do not deny anything. I merely do not share your unevidenced faith.
Pushing the onus on the theist, when the theist has already given a rational explanation of their belief, and shown the irrational behaviour of the atheist.
I must have missed your rational explanation for your theism.
As far as I am aware, you justify your theism on the basis of "I just know God is real, and my magical knowledge proves God is real" and "I think it's natural to believe in God, therefore God is real". Neither of those justifications strikes me as strongly rational. Rationalisations, yes. Rational, no.
And that is all atheists have, faith in their assertions.
What assertions? You're the one with the big unproven assertion, as far as I can tell.
Attacking theism, is modern atheism. It has no independent values of it's own.
Correct. Atheism, on its own, isn't a value system. It isn't a system of morals. It isn't a guide for how to live your life. It's not like a religion.
Atheists have to look beyond atheism for guides to morality and the good life.
But you're no different, with your particular personalised brand of theism. Your theism is equally bereft of morality or instructions on how to live a good life. You repeatedly tell us that your belief in God is separate from religion. You tell us that you're not interested in religion, only in theism. One role that religion plays for most people is to add on to theism all that boring baggage about morals and all that. Your theism has no independent values of its own, divorced as you claim it is from religion.