Important part of the game? Why?
That crap isn't accepted in international hockey. I read most Canadians want to ban it from hockey as well.
Just to understand you, what's the difference between a fight and a stage fight?
From my understanding a "staged fight" is a fight that has nothing to do with the enforcing aspects of the game. It doesn't involve retaliation for a cheap or dirty play and there is no message sending involved. Essentially it is a sideshow that has no purpose other than fighting for the sake of fighting.
To understand the role and impact of fighting on hockey I recommend that you read "The Code: The Unwritten Rules of Fighting and Retaliation in the NHL" written by Ross Bernstein. That way you can gain an educated opinion on the subject.
Also you can't really use Olympic or European Hockey as examples as to why fighting should be banned. There are far to many dissimilarities to even compare those leagues. In regards to the Olympics, one of the main reasons why there isn't fighting is because it is based on a one-game elimination playoff format. Teams can't really afford a bad penalty and if they engage in a fight they may put their team in a vulnerable position that may cost them the game. Also there are very few teams and an increased talent level in the Olympics. The NHL would need to cut the teams down to 6 and remove salary caps in order to have comparable teams to the Olympics. That way 4th lines in that league would be first lines in today's league. With the high end talent being spread out among many teams, each team now has a number of players that are less talented but fill a role in terms of the physical element they bring to the game.
As long as there is hitting allowed in the game, there will be borderline and flat out dirty hits. Because of this, there will always be a need for enforcers to keep these players in line. Therefore if you want to ban fighting, you almost certainly have to ban hitting as well. If fighting wasn't allowed, we would likely see a substantial increase in dirty hits. Fighting basically plays a primary role in constraining dirty hits.
Edit: It is also a misconception that the majority of Canadians want to ban fighting. It is just a select few of them who are very outspoken and dogmatic. This niche group of Canadians feel the need to force their views onto others and often revert to Ad Hominem attacks on those who oppose their perspective.