Agreed. Some specified deities can be ruled out. Deities that are described in mutually exclusive terms - the married bachelors of theology - can be dismissed out of hand.
But other deities like the deist god, who is said to have done nothing but create our universe and then walk away from it like a turtle laying an egg on the beach and then returning to the sea, who left no revelation containing an internally inconsistent description of itself, about whom nothing is known, and who doesn't promise to answer prayer or do anything else detectable - such noninterventionalist and undescribed deities can never be ruled out.
Nor need it be. For me, it doesn't matter at all whether our universe comes from such a deity or from an unconscious source like a multiverse, since neither predicts anything different from the other for the present or the future.
That depends what you mean by "God." As KWED indicated, deities in the generic sense cannot be ruled out, which is the position of the agnostic atheist. But if by "God" you are referring to the deity of the Christian Bible, it has already been ruled out logically AND empirically.
I mentioned married bachelors as an example of an incoherent concept, one that contradicts itself by being said to have mutually exclusive qualities at the same time. Is that god described as perfect - perfectly knowledgeable, all powerful, and perfectly moral? Did it create a defective race of human beings, regret its error, and try to correct it only to make another error in the process by using the same breeding stock to repopulate the earth? That god doesn't exist. That's the rebuttal from pure reason.
But we have an empirical disproof of that deity as well: the evidence supporting the theory of evolution. That evidence doesn't prove the theory and never can or will, although it does make it correct beyond a reasonable doubt. But that's not the point. Even were the theory upended by a falsifying find, which would necessitate bringing back an intelligent designer to account for the superhuman effort in such a deception, it doesn't revive a God that doesn't lie to us, that loves us, that wants us to know, believe, obey, and worship Him. The incredibly robust evidence for evolution doesn't go away. It just needs to be reinterpreted in the light of the falsifying find, which points to a great deception, or a staged scene as detectives might call it, as when an assassin rifles through a home to make the crime scene look like a botched home invasion - a deception.
Incidentally, even if that falsification does occur, it won't mean that a deity exists - that the intelligent designer was supernatural. In fact, any naturalistic explanation, such as a race of superhuman extraterrestrials whose ancestors evolved from a living population of cells that evolved naturalistically from simple organic compounds, is much more parsimonious than one that requires a deity.