I've never handled one. Is the grip width that much fatter than say a Walther PDP or an FNX45? My FNX45 (15+1 of .45acp) is certainly large, but not overly large for my hand. In fact it feels quite comfortable. Though so does the skinny grip on my 1911s.
I can't speak for the polymer "2011s," but I own a Para P14.45 and a P13.45. The thickness of the grip is essentially identical to that of a Colt 1911 with factory wood grips. The difference is that a 1911 grip frame is basically an oval in profile, whereas the Para is shaped (especially at the front) more like a 2x4 with rounded corners. So the thickness is about the same but the circumference is greater. If you want, I can dig 'em out and give you exact measurements, but I don't have those numbers readily at hand.
My hands are not particularly large for a male -- I can't palm a basketball, for example -- but I have no trouble holding and shooting Para-Ordnance double stacks. A good friend and shooting buddy, whose hands are about the same size as mine, finds the double stack paras to be too big for him to shoot. It seems to be a very personal perception.
However, I'm pretty certain the polymer "2011s" are even bigger than the double-stack Paras, which are all metal.