Everyone I talk to that doesn't own guns seems certain that handguns are illegal too. I suspect you'll find that there is a big difference between hunting coyotes with night vision and defending your livestock at night. You would also have a hard time proving you were only hunting coyote if you were stopped out hunting at night. You would likely be charged, the police/DNR get all bent out of shape at people running around with a rifle at night, especially with night vision, and I imagine you would probably be wearing a ghili suit and face paint just because that's the type of guy you strike me as lol.
Night vision isn't regulated in Canada, but in most locations discharging firearms at night is regulated. Check with your provincial regulations. There are also permits that can be issued in many areas to get exceptions to the rules if that suits you. If you're on the prairies and so far from the nearest house that no one will ever hear the shot, then I might personally not go that route, but I would always suggest following the law.
One warning, don't order most types of night vision from the US. They may be unrestricted for civilians to buy there, but most versions (except the type mentioned that weigh 20lbs and work like crap) are illegal to export and may be seized at the border. Check the regulations on the US side carefully if you are considering buying there.
you got me I was out shopping for a new ghili suit this afternoon