Do you have a lot of rock work for the wrasses to hide in and hunt on? Wrasses might become aggressive with other wrasses if the hunting areas are small. Some people keep many wrasses together and do not have problems, but others watch them pick each other off one by one over time. You will want deeper sand beds for the wrasses to burrow into at night, but if you already have a Melanarus wrasse you know the drill.
I would highly recommend against the Moorish Idol (it's your goat for a reason), unless you are very experienced. This fish will often die in a couple of weeks or less, because of improper care. Their feeding habits are also not reef safe. Their wild diet consists of sponges, many types of algae, sps coral polyps, softy polyps, and even some LPS corals. This is one of the most difficult fish to get to eat in the home aquarium. So if you do decide you absolutely have to have it, make sure you get one that is eating prepared foods and use that exact same food to feed it. It's not impossible, some are keeping these alive, but most hobbyists that have tried, have failed with this one.
The flame angel is a very hit or miss species, if you are keeping a reef tank. If this is fish only, then it shouldn't be a problem. Are you planning to keep coral? The flame angel, moorish idol, and some of those wrasses are not necessarily reef safe.
I really like the Copperbanded Butterfly, but this is a with caution fish in a reef tank. It will definitely eat some coral, but it will also keep your aptasia and majano population under control. If you have a thriving reef with a lot of coral growth, then you might not mind some pairing back of the coral. If you are just starting a reef, then you might want to hold off on this fish, until your reef is more established. It's also important to add this fish before the tangs you mention, as their aggressiveness toward a new tank mate might kill the gentle copperband. I had one harassed until it died by a very aggressive yellow and black chromis.