Well...that's part of it, but even if Canadian law permitted, I still don't think I would. I really have no interest in that aspect of ministry. In fact, I think the only ceremony I would be comfortable to serve in would be a baptism. Even then, it would be adult baptisms.
In truth, at first when I became a minister, I was upset with the limitations put upon my ministry by my country. But through my need to serve, I found that there were so many other ways to serve God and His people. In the end, I didn't miss those things forbidden me, and was pleasantly surprised by the gratification I had found in the many works I can do.
Because of the kind of minister I am, I would have to turn away too many people anyway. I believe that a marriage, though legal, still requires a commitment to each other and to God. For those who rather a JP kind of ceremony, I would have to direct them to the JP or another minister who performs that type of service. I see no reason for a Christian minister to perform a ceremony devoted to nothing but the legal aspects of it.
Basically, as I see it, weddings are the least of the services I could provide, and so I really don't feel any need to perform any. But that is just my take on it, I am happy for anyone else who wishes to provide these services and are able. And since you seem to have found your own answer to your question, I will pray for a wonderful experience for you and the couple you are about to marry.
God's blessings,
Rev. Campbell.