Might not need a amendment to the Constitution.  Only for a face covering to be considered indecent - which it clearly is, especially since only women are compelled to wear them (a point you never address).   Or for courts to find the ban reasonable.

Hopefully the many face covering bans we see in European countries will soon find themselves in Canada.  That will be a happy day for everyone, Muslims included.  But for now, this is a good start.