When adding that many fish, make sure you check the ammonia/nitrite levels as you go and do not add any more animals than the bacterial population can handle.
Also watch the nitirate levels when adding the inverts and do not let them rise while adding the fish either. The fish are not as sensitive to high nitrates but shrimp etc. are sensitive and cannot handle a high nitrate level.
I think the general rule of thumb is the most timid ones first to let them establish themselves. So, IMHO, the shrimp, hermits and snails first. The Gramma, Beauty, Firefish,Wrasse, and Angel second...(not necessarily in that order but only one or two at a time unless you have a large bacterial population). Then the clowns to let them establish their territory, followed by the Blue Tang. And finally the Yellow Tang.
I am no expert but that is what I would do.
Drew
Order of adding new fish 
80 gal plywood/glass reef tank, AquaC Urchin Pro w/Mag 3, 38gal Sump/refugium w/Mag9.5, 2 Maxi Jet 1200, 2-200 watt Hagen Heaters, 100lbs CaribSea Aragonite, 80lbs handmade Aragocrete rock, 2-110W 48" VHO Actinic Blue, 2-110W 48" VHO 50/50, RO/DI, DIY coiled denitrator, Bi-color Blenny, Damsel, Yellow Tang, red/green lobophyllia, zooanthid frag, cabbage coral, asst. mushrooms, toadstool leather, frogspawn 
