No, there's a seperate chain of military westernisation decisions. If you have the demo look in the westernization decision file.
Sort of... It's not a chain of events if you don't want to do it several times. It's possible to westernize the military from new world to western in one step.
And besides that it's also a bug in the code. It's way easier to westernize the military than it should be.
Here is the thread where that came up.
http://forum.paradoxplaza.com/forum/showthread.php?t=448337