If anything, MMP seems lighter on the stab hits than earlier versions. Certainly some things were a bit ill-designed, like -1 stability for land enclosures, but I think they got rid of that in the last patch. Of course it's definitely harder than vanilla and takes some getting used to, I won't argue with that!
Still, I'm curious what these events are. I know that pirate raids in extreme circumstances can hurt stability, and they seem to pop up at the most inopportune moments. But I can't think of anything that fires all the time that reduces it. In my opinion, things like Noble Opposition, Framed!, and Imperial Admonitions are a much bigger difficulty than keeping stab up.