Rule number one: Never use logic when discussing idols. It doesn't work. Witness Isaiah's critique of idols. Did the Israelites cease worshiping them? No. What about Habakkuk's scathing critique? Did they stop then? Nope!
Idolatry blinds people to logic. We're seeing that in this election season. Blind patriotism has become an idol, blinding people to logic. Don't touch my idols or you die!