Do you know if they make exceptions for American LEO's and or permit holders?
Permit holders get exactly no additional handgun privileges in Canada. I'm not a LEO but I believe that you need to be on official business and have things arranged in advance for the appropriate credentials to have a handgun in Canada as a LEO.
I would strongly advise against traveling to Canada with any firearms before working things out appropriately with the embassy or consulate. I suspect your handguns just aren't welcome there.