How to connect low voltage track lighting to line voltage?
Connecting low voltage lighting to high voltage supply requires a step-down transformer or power supply unit of some kind.  You cannot connect high voltage directly to low voltage lighting; voltage doesn't magically step down that way; it is illegal because it'll cause a fire.

There should be plenty of power. 

Your hookup issue is mostly mechanical.   You might use a "wall wart" transformer/power supply that simply plugs into one of the outlets.  Or you could hard-wire it using surface conduit and a spacer that extends the outlet so you make your connection underneath it.