Here's the thing. I remember 35 years ago when NAFTA was going through. The Tories fully backed NAFTA (which, of course, eliminated tariffs on imported goods on trade between Canada, the USA and Mexico). The Liberals and NDP were rabidly against NAFTA.
My point is what is "left-wing" today could very well be "right-wing" tomorrow and vice-versa. Liberal and Conservative viewpoints are fluid and everchanging and always have been.
To use an American example, John F. Kennedy is sort of a darling of the "left" today, but I remember reading that his policies and political views aligned more closely with Ronald Reagan's of the 1980s than anyone else's