Canada may have little choice but to tighten up. We share a border with the US and do most of our trade with them. If the US determines our migrants pose a threat, then they will demand Canada tightens up. Keep in mind, we share common databases for borders as well as common security databases. 

While Trudeau would love to rub Trump's nose in a happy clappy Muslim paradise in Canada, real politic will dictate a more harmonised approach to border security.