I have both 1911s and a CZ 97B. Both are great guns, but the CZ is the more accurate of the two types. That is, more accurate than my mid-level 1911s. I'm sure a high end 1911 will give it a run for it's money, but if you're looking at $500 to $800 1911s, the CZ will probably out shoot them. For me, it does not matter much, as both types tend to be more accurate than I can consistently shoot.
The downside of the CZ is the size. It really is not too big for an average person to shoot, but it's big. I'm 5'7" and am comfortable with the 97, but the 1911s do fit me better. Best of all fit wise for me is a CZ 75. The CZ is about 2 ounces heavier than my Springfield full size 1911, but can carry 10+1 vs. 8+1 in the springer. If you are thinking about adding night sights, you may have an easier time finding some 1911 sights than you would with the CZ sights. Then again, mine is the B, not the BD and I think the CZ 97BD already comes with night sights. Not so with the B.
Another gun to check out is the Sarsilmaz K2 in .45. It's a CZ clone that carries 14+1, but it's a heavy gun. The workmanship is excellent and they have fully forged frames and slides. I have an Armalite AR24, also built by Sarsilmaz and love the workmanship on it. But, it's heavy.
The CZ, like a 1911 can be completely taken down to the last pin and put together again without too much trouble, but the 1911 is nicer in that category. The CZ's need a couple of slave pins to completely take them down and reassemble, but only if you pull the trigger spring and sear cage apart. The CZ also tends to make use of roll pins captured by friction where as the 1911 tends to use solid pins that are mechanically captured. The only real difference there is that the roll pins have a greater chance of deforming on removal than solid pins do.
I'm really nit-picking to try to find anything that better with one over the other. Both are great guns though. The one thing I do like better with the 1911 is the safety placement. The CZ 97 has it a bit farther forward than is found on 1911s and my medium sized hands need to roll the gun a bit to reach it with my thumb. That would be different on the CZ 97BD though, as I think the decocker sits aft of where the safety sits.
Just some thoughts that might be helpful.
Thanks,
Tim