It probably would have helped if they LOOKED different. Every single one in TNG and DS9 had the same hair, same costume. They were generic identikit Klingons. There was none of the variation we saw in the movies, no bald (Chang) or balding (Maltz) Klingons. No short haired (TMP) Klingons. No smooth-headed (Azetbur) Klingons.
The exact same was true of the Romulans (bowl cuts and ridiculous shoulder pads for ALL) and Cardassians (combat armour always! One fugly slicked-back hairstyle for the entire species)
Reports indicate the unmasked Into Darkness