Is Jesus a True God or a False God?

I heard this fallacious argument from Trinitarians more than I can count. When will they realize that that question falls trap to the false dichotomy fallacy?

From the most authoritative encyclopedia ever created, the Mighty Wikipedia, says:

The logical fallacy of false dilemma (also called false dichotomy, the either-or fallacy) involves a situation in which only two alternatives are considered, when in fact there are other options

And that's exactly what takes place. There are "in fact" "other options." For example, the text of Exodus 7:1 is fairly well known because in it Jehovah tells Moses that he has made him God. Trinitarians and others argue, 'yeah, but that's not to his nature.' You see, so they add or change the original point, and in fact this is another fallacy called Moving the Goalposts. Be that as it may, however, even if Moses isn't God as to "his nature," he is still God in another sense. In fact, this text demonstrates that Jehovah can make anyone whom he wants "God," in a Biblical sense, indeed, including Jesus!

Others have argued that Moses is a false God in this text, which in my opinion, is simply absurd. Exegetically, where do they get off on saying that aside from their preconceived notions?