Butterflyfish tank

I am buying a 125 gallon tank and i want to have butterflyfish in it and i want to buy them 3 inches each but i dont know if i can have all of the ones i want because i dont know if it will be too much for the tank and if they will all get along. I researched to find out how big they all grow up to. The fishes i want to have is
Raccoon butterflyfish (8 inches) 1 only
Yellow longnose butterflyfish (9 inches) 1 only
Auriga butterflyfish (8 inches) 1 only
Double saddle butterflyfish (6 inches) 1 only
Tear Drop butterflyfish (8 inches) 1 only
Latticed butterflyfish (6 inches) 1 only

I want one of each. But will they be too much for the tank like too big or am i fine? And my other question, will they all get along with eachother? And if i do have enough space, do u think i can fit a yellow tang in there? If not im okay with that.