You would think …
And yet, this one’s (entirely anecdotal) experience is that most of the people on PvP servers are not.
They are either peaceful, but want to live dangerously, or somewhat cowardly, previously hiding behind bubbles in hard to reach places, only coming out to gather the victims to keep the bubble up.

Then there are those who don’t mind a fight, and will happily break an eyesore base to flinders, but mind their own business most of the time.

There are sometimes “alpha clans”.
They range from thin skinned megalomaniacs with an incessant need to bully to griefer hackers and any mixture thereof.
This one has never had any personal experience with any hegemonic clan on a public server that wasn’t some kind of pile of phallopomorphic feces.
However, it’s entirely possible they exist.

About as often as “alpha clans”, there are hack clans/mercenaries. Those who are just there to cheat to win and the hired goons that facilitate them.
These are minority.