I don't know the cause, but I can mention some things to look for. First, the reason they drop with the slide forward is that the follower is pushed up against the bottom of the slide, and there is a slight amount of spring tension that gives it a push.
Second, the most common cause of this is one or more of the grip screw bushings protruding slightly into the magwell. Usually when this is the case, it's only a very slight amount. Take a magic marker and coat the sides of a clean mag. Insert and remove the mag a few times. If you have rub marks on the mag where the inside of the grip screw bushings would be, then there is your cause.
Another cause, though this is with horribly out of spec guns, is a sear spring with an overly long locating tab sticking out into the magwell. I highly doubt this is the case, especially with a Kimber. While looking into the magwell towards the back of the grip, you will see a horizontal cut on the back surface. This is where the sear spring locator tab sits. If the sear spring sticks out too much here, it can hang your mags up.
Yet another cause I've seen a few times is simply ahving warped base pads. The fact that you tried several other mags probably makes this a slight possibility.
I can tell you most likely what's not causing it. The magwell of the gun should be plenty large enough. Also, more than likely it's not the mag release, though that's a small possibility. Anyway, check the above two mentioned things first, and if those are fine, try removing the mag release all together and see if a mag sticks with the slide back.