That summary has a lot of errors and issues. E.g. Putting Quebec politics on a left-right spectrum alone doesn't make sense.
Yeah, in Quebec I think it's more about Federalists (Liberals) vs Nationalists (most of the other parties). The Quebec Liberals were even led by the former federal Progressive Conservative leader, Jean Charest, for a long time, and I think he was the last Liberal Premier of Quebec if I'm not wrong.
At anyrate if I lived in Quebec I'd be a Conservative voter at federal level but a Liberal voter at provincial level.