In IDPA competitions, M&P 45s regularly come out on top against the "famed" 1911.
This is shooter related not gun related. Guns don't win competitions, shooters do. I've seen plenty of guys shoot plenty of guns really well. That doesn't mean one gun is better than another.
The Apex FSS trigger on my FS is as good or better than many 1911s. (I've been told that by 1911 owners!)
While I have no doubt that some guys have said this, I still think the 1911 trigger is better. I own an M&P 45 with the Apex FSS in it. While it is a great upgrade, it's still not as nice as a 1911.
Please understand, I'm neither a brand nor model loyalist. I believe the best gun is the one that helps the individual shooter put rounds on target, with the accuracy and speed they require for their intended purpose.
I've listened to guys argue this back and forth for years. No one wins. When I out shoot someone with my 1911, the common response is, "If I had an expensive gun like that, I'd have shot better." When they out shoot me (which happens a lot), the comment usually goes, "See, all that money is wasted. You should have just bought the el cheepo like I did."
It's the shooter, not the gun. Yes, having a gun you're comfortable with makes a huge difference in how well you shoot. The only really debatable issue is functional reliability. Once a gun is proven that it's reliable, the rest is dependent on individual taste.
The M&P 45 is a well made, reliable gun. It's accurate enough for the purpose it was designed for; defensive shooting. I would gladly use it in USPSA, IDPA or IPSC competition. I would also gladly carry it for self-defense. I personally shoot the 1911 better, but that doesn't mean I don't shoot the M&P well enough.