You'll get two opinions on this... mine is definitely in the minority (so listen to it with a grain a salt).
I would cycle your tank with the live rock WHILE running powerheads, lights, skimmer.. etc. I would do water changes to keep the ammonia low.
Here's why: You have a lot of critters on your rock right now. If you let it sit fallow your tank will cycle, but your ammonia is going to reach such a toxic level that many of your critters will die in the process. If you run skimmer, and do water changes you still will have ammonia, but not as high. This will allow your tank to cycle but won't kill so much in your rock.
Now, most will disagree with me, (about running a skimmer and doing water changes) but until someone can logically explain why you want your tank to build up sky high ammonia I'm going to stick with my theory. Bacteria grows based on having ammonia to feed on... having a huge amount of ammonia doesn't make the bacteria grow faster, just keep growing.... until it runs out of food and begins to starve..