I will not go into which political group the Canadian president belongs to, but what I read in the media for days is that the US is putting a lot of pressure on him to end the protests in any way, and that probably means using the military if there is no other way.
If he uses the military it's going to be a bloodbath because such actions never end with a few bruises. Somebody is going to get shot, they will poke somebody's eye out with a rubber bullet, break some skulls and cripple people and that's going to escalate things even more. This still is a peaceful protest, but if politicians decide to choose violence they will learn that protesters can be violent too and guess what, the people don't depend on the government. They can live without it, but the government can't exist without people who support it.