First, I'd like to draw a subtle distinction. The Alliance Française is mainly dedicated to promoting French culture, not necessarily the culture of French Canadians. The linguistic notion is the same, but it's more specific to France.
We contacted the Vancouver branch of the Chambre de commerce française au Canada so that we could work together to bring together all Francophones. As is the case of the Alliance Française, the purpose of the Chambre de commerce française is to stimulate trade with France and to bring together French expats, because they have more in common with each other than with Canadian Francophones.
This isn't a homogeneous community. The goal of France's Consulate General is to protect the interests of French citizens, not those of French Canadians. We can indeed work together. Will the Consulate support us? That's not its purpose; that's not its priority. It takes part in the community, but its institutions are somewhat specific.