I decided to try it with Crysis 2. At the beginning I hit the start button, and the controller was already configured. Controller buttons also show up as context in the menus, and during the game.
So I decided to try it with Crysis 1, w/ 1.2 patch installed. As soon as I hit a button on the controller, it automatically worked, even had some kind of prompt in the game menu, that the controller scheme was switched. I didn't have to configure anything, and rumble even works. It controls okay, but switching suit modes is too slow, KB and mouse still the best for it. I was actually surprised at the level of gamepad support built into Crysis 1, even the configuration in-game has a picture of a 360 controller.
Maybe CryTek had consoles in mind all along?