Lightning Stance states you must take two actions to move/with draw, so a double move. Dimensional Dervish states you can full round action, D. Door as a swift action and "teleport" up to twice your movement during the course of your turn. Twice your movement sounds like a double move, but is it a double move needed to active Lightning Stance?
Unfortunately, no. A double move is defined as when you use two move actions in a turn to move. A charge (and in this case, dimension dervish) is a separate action that incidentally can allow that much movement.
Basically, dimension dervish and lightning stance do not work together. lightning stance specifically requires the use of two move actions to move in a turn or a withdraw action.