Well it's funny you should say that. Like I said, the pecking order is very strong, so it seems to depend if you had an animal that was dominant or subserviant when with its highland herd.
I have mixed highlands with my hereford cattle and the dominant ones march to the food with an air of supreme confidence, expecting the herefords to stand back, in the same way that inferior (to her) highlands would. However the herefords all work on the theory that she who hesitates is last (and goes hungry), so they dive in and attempt to push the highland out of the way, totally oblivious to her horns. So if the highland holds her own, then she's fine and won't get bullied, but it's really funny when she realises that the herefords don't give a toss where she was in the pecking order. So a fairly dominant highland will cope ok because she won't let herself be bullied.
On the other hand, a few months ago I had to bring an 18 month old highland heifer inside to treat her warts. The only other bovine I had inside was Tina, an 8 month old hereford calf that had recently lost her mother. Tina had been inside for a while and regarded the pen as her territory. But she was considerably smaller than Hermione and didn't have horns. So I was very surprised that Tina quickly established that she was the boss. Presumably Hermione, being a young cow, will have been fairly near the bottom of the pecking order with her highland herd and so will have shown some subordinate behaviour to Tina who instantly picked up on it. It was really funny watching the calf push the bigger, horned animal about the pen. She wasn't nasty to her, to the extent of chasing or bullying her - just pushed her out of the way if say Hermione was feeding from her food trough. I now have the 2 of them outside, and Tina still pushes Hermione about if she gets in her way, but it's quite casual and certainly not bullying..
Sophie, the one I mentioned above, was always bottom of the pecking order with the highlands, and I think it's just because some animals just act as if they expect to be bullied, and it becomes a self fulfilling prophecy. Anyway, at the moment she's with the herefords because she has fantastic hereford x calves, so it seeems a waste to put her to a highland. You can tell by her body language that she is not a dominant animal, and she does hang back a bit. But we have plenty of feed rings and the herefords are not a bullying breed so she gets on fine with them.
So, in answer to your question, yes a highland would cope alright with a different breed of cattle. A dominant one would probably fit in better, but a lower pecking order one would be treated as inferior whatever it was with, so would always seem to be on the outside.