Your bio says you have a 54 gl. and with that being the only imfomation then I would recomend against it.
I have a sail in with a purple as well as three other spcs. of tangs and there is no problems but there in a 180 gl. tank. The spcs. you listed are very sensitive ones and like most tangs very pronge to ICK if placed in too stressfull conditions such as too small of a tank, ect.