Well, I have never put on a aftermarket column switch but the brake switch has a hot and a feed, as you say. When the brake pedal is pushed the switch puts hot to the red wire. That red wire will light the brake bulb. See where it goes. It probably goes into column switch and back out to brake lights. Don't the instructions tell you that? There will be wires from the Turn switch that need to be wired to blinker and brake lights. The only other way is the red wire is attached to the brake wires, that will make them light up. Do some testing. Make sure you are going thru fuses.
NOTE: On a Task Force stock turn signal switch, everything goes thru that switch, including the stop lights.
