I highly recommend doing this while going for the "See, I'm Tough Too!" trophy, as there's a trick that will allow you to beat this level in seconds, even on the toughest difficulty.
Start off by dropping down the chute and ignore the enemy on the crate. Instead, head around the building to the back entrance to the theater. You'll see a pig cop there. Jump on top of his head and from there, jump up to the ledge to the left (when facing the doors). From here, you can easily hop to the ledge with the exit and nab this trophy with several minutes to spare. If you were on the toughest difficulty, you'll also get the following trophy.
Below is a speed run video courtesy of Smokeisdaman which showcases this technique. This video is not mine but rather Smokeisdaman's.