I don't think the KKM full sized 4.25 barrel will work well for what you want (dependable accurate shooting) in a subcompact M&P.
They are subtly flared at the end of the barrel to fit tight to the end of the slide to reduce end play.
The barrel shaft has to be thinner in the middle to allow the barrel to slide at an angle as the slide moves back across the barrel to eject & feed. I think you would be better to just run a factory S&W 9mm barrel. I do this for some .40 4.25" M&Ps without any issue.
Feeding 9mm out of forty mags is hit or miss (in my experience).
It "usually" works - but not 100% of the time. I just use 9mm mags as used 9mm M&P magazines are inexpensive & easy to find.
The longer full sized magazines WILL fit in the subcompact frames. The.bottom of the magazines will hang down past the bottom but there are grip sleeves that make it seem like the hang down of the magazine is part of the grip.
I'll post pictures in a bit.
Hope this helps!
Bigger_Hammer