The key issue with the 1911 is reliability, and there is an envelope in which the .45 ACP and the 1911 platform run best without excessive service or spring change needs, and that is the original 5 inch barrel. The Commander length will do nearly as well, but shorter than 4 1/4 inch, you get into tool-required field stripping, spring changes sometimes as often as every 750 to 1,500 rounds, etc. My advice is that if you want something with a barrel shorter than the original 5 inch or the 4 1/4 inch Colt Commander length (not the Kimber or Springfield 4 inch), then you should go to a different platform.
You said accuracy is your prime concern. If so, the S&W Performance Center pistols are capable of outstanding accuracy with reliability, as are the Springfield Custom Shop and Les Baer, although Baer's pistols are very "sticky" in the sense that they are so tightly fitted that press checking is not realistically possible by any traditional method. I will say, however, that even though when you first get one, they are so tight you will think it will not work, a Baer will work reliably. If you like Baer, go ahead and pay the extra fee for the 1.5 inch/50 yard guarantee. Ed Brown pistols have the rear sights fitted so loosely, allowing easy adjustment by drifting, that they are only held in place by the little set screw, rather than a proper "interference tight fit" that will hold up to rough handling. As such, the Ed Brown pistols are not serious fighting or carry pistols, but they will do fine at the range - unless your loctite gives way during a match and you have your rear sight fall out of its dovetail.
The S&W Performance Center is just as good in the accuracy department and it is not "sticky" like a Baer. You will have to decide if the aggressive slide cuts in the newest S&W PC 1911s are for you. They are not for me, but everyone has different tastes.
Personally, the latest Colts I have handled are exceptionally well done, and they always hold their value, barring any after-market modifications.
I think, therefore, that a 5 inch 1911 from the S&W PC, the Springfield Custom Shop or from Colts will be the best for your needs.
Every Kimber I have shot suffers from "snake eyes" which is that annoying tendency to not lock up in the same position every time, resulting in two distinct groups on the target during a single string of fire. I also cannot recommend the Kimber version of the "Swartz" Safety, and if you are set on a Kimber, be sure to get one without the unfortunate feature. Note that S&W, Springfield, and some Colts do not use firing pin block, instead achieving drop safety by the use of light, titanium firing pins, which do not develop the inertia of the standard all steel firing pin if the weapon is dropped on the muzzle.
My answer has assumed you want match accuracy of 3 inches at 50 meters. If what you mean by accuracy is simply "combat accuracy," often defined as 4 inches at 25 yards, then the basic, rather than PC, Custom Shop, or similar, will do. For that purpose, simply get the basic 5 inch S&W E- Series, Colt 1991 or 70 Series, or Springfield Mil-Spec or "Loaded."