This will greatly depend on the flavor of god that you're talking about.
In Christianity the emphasis is on faith, not proof, and on the concept of FREE WILL.
A god that simply changes hearts and minds simply at will rather than allowing the choice is definitely not like the god of Christianity.
But, should a god do that, should a god simply change people's minds, that would not actually be proof. It would be proof that the person has the power to that, but a technology/alien power far beyond our own capabilities could in theory do that.
It's hard to imagine a world in which a god allows evil but does not allow free will. That's not the world we live in, certainly.
It doesn't matter how the god tries to prove it--from changing the rules of gravity to the laws of physics, and even, if they created a whole Eden-like planet--it would simply prove that they have powers normally attributed to a god, whatever the source might be.
But here's the rub. What's the definition of god? If someone can do what is normally attributed to god, whatever the source of that power (for all we know, god is just a sufficiently advanced alien creator), if someone can do those things they would be considered god-like UNLESS that power can be stripped from them and used by anyone.