The X-Arcade is natively supported by the OUYA game console and simply acts like a gamepad (or 2 gamepads for a dual). This means it will work in the menus and in supported software. The trackball also works on it as a mouse. For a Tankstick you will need to use a USB hub to connect both USB connections.
MAME4Droid on the Ouya store only works with one gamepad, meaning you can't play 2-player games. To work around this you will need to Seideload a newer version of MAME4Droid. More info here.