All we are really saying is that God is real and that He is, therefore, incapable of doing irrational things.
Indeed, God, being real, and the Creator of all things, is the very foundation of what we call "reality."
To put it another way:
Reality is the thing that denotes He Who is Real (God), similar to how History is "His story."
It isn't that God cannot do these things because of some weakness or flaw but because to do them would be to not do them.
Just checking, this is how you intended to word this, yes?