The Polar Express, is, I believe, a passenger set with illuminated coaches. They probably have pick-up rollers, so a wire run between the tender, the locomotive, and the first coach, or just between the tender and the locomotive, might solve the power problem.
Using a trolley or small locomotive is more problematical.
"Relay's won't be needed as the crossover is on the main line and is powered all the time."
Dale is (I suspect) suggesting that to avoid a hot /return conflict between power rails and traction rails within the modified central portion, that you use a relay per track alignment to switch hot power to the appropriate center rail, and open the hot power to the center rail that does not need it.