'Liberal' does not mean left-wing outside of the United States, this just means a world where basic human rights, democracy and state sovereignty are respected. So I'm absolutely supporting the liberal world order, are you not and rooting for Putin's tyranny instead?
Sure but in an American context liberal does mean left wing just like conservative means right wing . Keep in mind protectionist trade views were characterized as very liberal as late as 2015 here so that context is important.
Saying Democratic World Order probably would be better