Reply #41: I gather that up until about 1969 Canada accepted almost all

[daleo]

Draft dodgers or military deserters on purely immigration grounds, without considering them in a political sense (although it was implied, that if the U.S. pushed it, they would be considered to be political refugees). At about that time (1969), Trudeau was more direct and basically gave U.S. citizens fleeing the war a more explicit guarantee about refugee status.

So, whether U.S. citizens could escape the draft by immigrating to Canada in this day and age, is a bit more complicated than what you might hear, going strictly on historical precedent.