If the US had a parliamentary system that selected a Prime Minister similar to England, Trump would already be out of office for his actions
His only protection at this point is the fact that US presidents get a 4 year term. At the very least, the House/Senate will protect him until the 2026 elections kick off and they need to somehow save face with their constituents. But the sheer volume of obvious public mess-ups would have tanked a politician in a country where they can be recalled at a moment's notice.
EDIT: I'm not saying we SHOULD have a parliamentary system in the US, just that any country with one where they can quickly remove a leader would have already done so if Trump was the PM in those systems.