There are lots of threads on here about M&Ps seeming to shoot a bit low and left and the solution being developing a nice straight back trigger pull. But I won't accuse you of not pulling the trigger right. However, I will say that in general adjustable sights are best for "bulls-eye" guns, which M&Ps really aren't. They are quite accurate enough for their intended uses, self defense, military and police duty, and action shooting competition. But as "bulls-eye" guns, the 1911s will eat 'em up.
The sights are drift adjustable, within reason. And mine tend to want me to cover the intended POI with the sight post rather than balancing it on top of the post. I put Trijicon HD sights on mine and just put the yellow ball where I want the bullet to go.