No that's not accurate, well, there are certainly more cases in the US than Europe & the UK but sadly we still have plenty of cases here.
While a web search hasn't been particularly helpful there was a Jet2 flight from Manchester to Turkey which had to divert after a passenger started hitting others;
[Can't post URLs until reaching 10 posts]
There was also a fairly well publicised incident with a big punch-up onboard a KLM flight from, oh god, Manchester again;
[Can't post URLs until reaching 10 posts]
Those were just this year, there were also several incidents last year too though again I am having difficulty finding them (but they made news at the time). A few years back the amount of trouble with disruptive passengers on flights ex-LGW saw an airline successfully get the airport to shut down an airside pub, or so I was told by an instructor who granted didn't seem happy when I scoffed and said that when travelling PAX I'd be pissed off about not being able to have a pre-flight drink.
Sorry that I can't be more help.