Vigilante Upwarp is a trick performed on the Floor 2 hub, allowing you to quickly teleport to Mr. Stick and interact with him as you exit Fastfood Saloon. This saves time by both interrupting the cutscene of Peppino falling and teleporting you to the floor above in one motion.
Before entering Fastfood Saloon, make sure that Mr. Stick has appeared by walking close enough to the boss door.
As you enter the level, ensure that Peppino is standing slightly to the left of the gap between the saloon doors.