[Serious] Could an omnipotent and omniscient god prove that he was God?

[Objectivist]

In his seminal book, The God Delusion, Professor Richard Dawkins states the following:

"If he existed and chose to reveal it, God himself could clinch the argument noisily and unequivocally in his favor."

If there was a god, could he prove that he was God?

I think if there really was a god that wanted us to know it then there'd be no question at all, this whole debate about gods would never have arisen, it would be absolutely obvious to everyone and I mean self evident, directly perceivable.  No proof would be necessary.  I mean, come on, this god supposedly willed a whole universe, unimaginably vast in size,  and perfect let's not forget, because it wanted to, just like it supposedly wants us to know it.  And you are trying to tell me (not you Jehanne) that it can't prove to every one of its creations that it exists.  It still requires faith.  A rational being does not ask other rational beings to have faith.  So either this god does not exist or it is completely irrational.