I was just about to make this analogy but it would be more akin to the mosques having ties to Iran, a state with nuclear ambitions and leadership that is hostile to the US, as opposed to Saudi Arabia where they don't have nuclear ambitions(that I know of) and the leadership is at least friendly with our leaders even if significant parts of the population may not be.
Edit to add the same disclaimer the parent has:
Note: I do not in any way support anti-Islam sentiment.
America as a county does not have nuclear ambitions, we already have nuclear weapons and delivery mechanisms.
The phrase nuclear ambitions refers to a country that does not have nuclear weapons and a way to deliver them but want to obtain them, hence ambition.
If you are against nuclear proliferation, you want countries to stop developing and creating nuclear weapons.
Iran is used in this case as a foil for North Korea as they are both signors to the Treaty on the Non-Proliferation of Nuclear Weapons; Iran(1970), North Korea(1985).
Both countries have continued to work to develop nuclear weapons, with North Korea having conducted successful nuclear tests.
Edit to add the same disclaimer the parent has: Note: I do not in any way support anti-Islam sentiment.