For sure, using cruise missiles would provoke an even greater attack, which is why I wouldn't advocate them in the first place...
Although your point about air defense missiles is only semi valid, in my point of view... unless China hits Taiwan first with a nuke, it isn't really feasible all the cruise missile batteries would be destroyed...
Indeed, to me there is no point in striking back if you are already getting destroyed. I disagree with your reason for stating this point, however.
Focusing on destroying the invasion force is what I would be planning on in terms of defense, because obviously there would be less international backlash. Using the Cruise Missile strategy would be "North Korea" style.
But the thing with MAD is that it is pretty effective most of the time. Besides, if China's mission objective was to kill civilians there's not much of a chance Taiwan could do much about it, there's not enough Patriots to go around.
Right now most of the missiles are tightly bunched in strategically valuable areas, it would be infeasible to have the entire island defended by SAMs.