Or use a system which enables proportional representation. Then the totally incompatible viewpoints will both have an outlet to congregate around and an arena t

Or use a system which enables proportional representation. Then the totally incompatible viewpoints will both have an outlet to congregate around and an arena to discuss. Thus also making sure that one of the larger parties can't get co-opted by for example the Trumpism movement inside it. In a proportional system that would have been it's own party. Case in point, how most nationalistic parties in Europe have stopped at 10-25% of the votes depending on country, thus having influence but not dictating it.