Tangs and angel mix has never been an issue for me.
To OP: what size is your system?
In my previous 180G tank I had emperor and blueface (both adult) living with several tangs (naso, purple, blue, tomini, desjardini) and they got along just fine.
In my current 550G system I have three cb yellow along with the purple, gem, blue, naso, tomini, and orange shoulder with two pygmy angels (flame and lemonpeel) and the system is more than stable to handle the bioload. And all live peacfully with each other.
I’d say your only worry in the future are:
Potential battle among tangs if you do end up getting more zebrasomas (my purple and gem fought for a week before they calmed down), and if you plan to keep corals the large angels will definitely be a potential threat, though mine left the corals alone for the most part, but there is always a chance they can chew up some lps