What does monastery think of this feature?

I don't like it (horrible idea). You are free to ignore any and all replies (even though it's not a good idea), and besides, trollish posts get reaped, so you don't get to be bothered by those.

And finally, I'd just like to reiterate what theorbtwo said:

Thirdly, and perhaps most importantly, posts written by you are not for your consumption alone. Just because you do not want to see AM posts in reply to yours does not mean that other people are so inclined.