That just looks dumb, it looks like a person in clumsy cosplay makeup.
What worked in TNG and DS9 for alien races is that they did the less is more. But they always tended to leave the mouth and lower jaw alone, that allowed the actors to actually be able to look like they were talking and they could act through the makeup. The problem with discovery makeup especially with the klingons was that they use of makeup and prosthetic was so heavy and clumsy that the actors couldn't act through it, so instead you were pulled to the instant realization that it was a dude or chick in rubber makeup. They might as well have bought some cheap masks with eye holes and non moving mouths from a costume shop.
When I look at that makeup I don't see a Klingon, I see a ton of makeup on a person.