I am not saying you are wrong, but the military's loyalty to the province they are (temporarily) stationed in is a huge leap of faith. Creating a country can be done the hard way or the harder way.
Being that the Crown is apolitical, ditching it opens a huge can of worms without any obvious benefit. We can have our freedoms, our own constitution, RKBA, etc, without having to create a new form of state out of thin air.