I do not think that civic is a synonym for local government. Civic participation does not need to be locally focused.
I would recognize municipal more easily than local government as well.
Another possibility would be something like civic-elections-canada and municipal-government. That would be clear that civic elections has a specific meaning in Canada and when someone types civic or municipal, they'd see local-government. I would kind of prefer civic-government-canada, but if that's not how the term is used...