Lowes Under counter Lites Dimmer

If you look at the specifications on the transformer/controller block, it should give the voltage output. If it happens to be 12V or so, you presumably could just discard the transformer and run the whole shebang off of the 12V system with a normal 12V switch (or a 12V dimmer if too bright, such as one of these). If they aren't 12V units, you could get some other power supply that meets the current and voltage requirements and wire that in.

While likely not easy it may be possible with some surgery and reverse engineering of the circuit to bypass/eliminate the dimmer in the existing transformer.