Yes, that works for all Ways. I just checked it in your game on turn 2.
You click on March first to buy it, this already shows you your discard pile. Then you click on Way of the Turtle, and all Action cards inside the shown window change their picture to a Turtle picture, to indicate that they now act as Turtles if clicked. You can undo the click on Way of the Turtle by clicking again on it, so the cards now act "normal" when played.