You specifically stated your "basic value" in this way: "That women belong and should be encouraged to be in public space, interacting with unrelated men and women."

Your "basic value" is not shared by Canadians, either those of a religious bent or otherwise. I strongly doubt that, other than yourself perhaps, ANY Canadian considers that a fundamental value. Parents don't tell their female children, "Go out into a public space and interact with people who aren't in your family."

A basic value is something like, "Treat others as you would like to be treated." Or, "Obey the laws of our country and its constitution." Or, "All people, regardless of their race, religion, ethnicity, gender or mental or physical handicap are equal before the law."

The basic value you propose is a form of social engineering. It means that, for instance, Mennonite communities would have to stop being cloistered, and instead tell their girls to go out into the public and interact with people they don't know.