> It's like saying you provoked a burglar by putting a bigger lock on your door.
This is a poor analogy due to a nation-state not being analogous to a burglar. Especially due to a burglar being a deviant and a nation-state not (inherently) being a deviant. Also in your scenario, one party is deviant and the other is protecting their home (one-sided).
A defensive act like setting up missile shields runs counter to "mutually assured destruction" (it's not so mutual when one side has a missile shield).