Australia says that it has a "Washminster" system, in that its lower house is like in Westminster but its Senate house is like in Washington. It does not have a President, but a Governor General whose powers are mostly symbolic, much like the Queen. The Queen of Australia at present happens to be the same person as the Queen of England. That is a cost saving outsourcing arrangement that will be changed soon. She "reins", not rules, by the consent of the people expressed through Parliament. If the Government loses a supply bill, the GG can require a double dissolution, which is an election for all members of both houses. That is just what the USA needs right now.