Hit Square Square Square X Circle Triangle on the press start screen to get Sword of Love.
Have Stage 2 done previously
Load up Stage 2, once the limo lets out the Clash at Demonhead
Pause > Return to Map
Now load up Stage 2: Main Stage
Cheap kill the goth robot with the sword of love
Proceed to kick thru all the walls not letting the Vegan get you, when you reach the alleyway the trophy pops.