The tundra also has a round connector on the back with marked pins in it for R and L turn signals, brake, etc. I am wondering if I get the right connector and wire the tow lights to this it would work correctly and give me L and R turn signals.
I believe there's a brakelight controller behind that connector that will have series diodes that will prevent the one blinker from lighting the other and the brakes from overriding the blinkers.