About the sight and drifting it to the center. It will probably take more than just beating it with a punch.
I don't know if this is unique to S&W, but the sights are installed from the right. I suspect there is a tiny taper to the dovetail which is why they are tight. So, just hammering it to the left may not work.
The proper way to install a new sight is to file a tiny bit off the bottom. Check to see if the sight will slide in about half way by hand. If it won't go half way by hand, file a little more off the bottom. Once it can be fit about half way by hand, then it gets pressed in by a sight mover or punch.
Holmes375 already beat me to the punch (pun intended), but I was going to offer to move it for you. I have a MGW Sight Mover that is specific to the M&P:
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I got this pic off the internet, but it is exactly what I have. Even with this tool, it is likely the sight needs to be removed, filed, and reinstalled.
I don't believe moving the front sight 1/32" will fix your problem. But it would at least satisfy you that it's not the problem. I do believe your gun has in issue. I would buy it from you, but that gun isn't on the "Safe Handgun Roster" here in CA.
I am not sure what the problem is. BUT they say passed and to me that far off in 5 ids from a rest. and today I used two different ammunition brands. Blazer brass and Fiocchi.
I don't know but I want it corrected or replaced. Dawson precision said S&W M&P 9's have had some problems with the barrel etc.
When you say you would buy it from me. Why would anyone else want the problem?