You understand nothing about the HOA relative to liberal, conservative, property rights, etc. You analogy is an epic failure.
There is no right infringement. Your right exists BEFORE YOU BUY. What is so hard for you to grasp? You are over thinking, and your argument is a non sequitur.
I offer that, perhaps, you might consider your position from other angles... There is nothing wrong with painting your house like a Jack-O-Lantern. It shows a certain whimsy. However, permitting some tin pot Hitler tell you "CAN'T" presents the question of whether you deserve your freedom.
There is the option that YOU are the tin pot. It would explain your position.