Regal angels are difficult fish. They require quite a lot of work to get healthy and happy. I think they need well established tanks with lots of rock to swim through and graze a variety of sponges, macro and micro algae from. They do better with peaceful small tank mates that they can feel the boss of until they get established. Once established they tend to do pretty well.
Perhaps Laying it out like the following will show a more useful way of evaluating and thinking about stocking and interactions.
If a regal angelfish pair or single, was the goal of my 180 I might edit your stock to go something like this:
Establish tank and cycle:
Group 1: First 6 months
2x Banggai Cardinalfish
1x Flame Hawkfish
1x Foxface
Suggested:
Chromis, gobies, small peaceful blennies, hardy other anthias.
Group 1: Focus around peaceful hardy fish, now is the time to add other blennies as the starry will be intolerant of those added after.
Group 2: 6-10/12 months
1x Sunburst Fathead Anthias
1x Green Mandarin
1x Leopard Wrasse
1x Lineatus Wrasse (Maybe)
You could Add Clowns in group 1 or 2 if percs or ocellaris but maroon, blood orange, tomato complex, ect are too aggressive here.
Suggestions:
Fairy and flasher wrasse, moderate difficulty antias, possum wrasse, sand sifting gobies
Group 2: ratchets up the difficulty ensuring you have pod populations, and care down for the difficult angels, as rock begins to reach maturity. Again keeping aggression minimal we won't want to have any liable aggressors, for the angels to settle in.
Now the rock and tank has had 10-12 months to mature we can start adding the sensitive goal fish.
Group 3:
1-2x Regal Angelfish (Red Sea)
1x Copperband Butterflyfish
Suggestions:
Difficult Anthias, any other peaceful fish
Group 3: Show fish, May be some aggression between these two deep bodied fish, they are both difficult to establish, and need mature, peaceful tanks. After the regals are established for a few months they may become aggressive to newcomers, this period is an excellent opportunity to bring in any more peaceful or questionably peaceful fish.
Group4:
1x Melanarus Wrasse
1x Starry Blenny
Suggestions:
Other Wrasse, peaceful damsels, dragon face pipefish
Group4: These fish won't interfere with the establishment of the regals or copperband but may have given them trouble if added first. or needed extra time for the tank to mature.
Group 5: ~6+ months after Regals,
1x Whitetail Bristletooth Tang
1x Majestic Angelfish
Suggested:
Sensitive dwarf angel pair, other sensitive medium angels, Any Large wrasse like tamarin, Other butterflies
Group 5: starting to introduce potential aggressors, tangs, angels, This is where we become good at using the acclimation box, Identifying and mitigating aggression before the fish are released
Group 6:
1x Purple Tang
1x Yellow Tang
1-2x Flame Angel
Suggested
Any other small tangs, Large angels
Group 6 are the fish that are most likely to cause problems with the desired fish, or fish added after them.
I Left the fish from your list that would be reasonably expected to cohabitate long term in a 180 together, with only a normal dose of reefing luck.
Perhaps this illustrates a more effective approach than shotgunning lists. Set your fixed goals, I want, x, y & z, fish and corals. Determine what the care needs of those fish are. Determine the general slots in the progression of your tank and what types of fish can be added in those times. Often availability and interests fluctuate this provides an architecture for more effectively achieving your core goals, and adapting to changes in the fish market, yourself and your tank.