Uhhh... (Checks history)
Europe actually appears to have been quite involved in the creation of the current state of Israel, and by that token, the stateless position of the Palestinians.
The state of the land, which is the cause of the war, is actually very much due to European decisions.
"The Gazans should topple Hamas" idea is tantamount to the old "pull yourself up by the bootstraps" idea. Gazans do not even have homes, or food, do you think they have any other internal structure they can pull on to coordinate anything?
Do you know who has kept Hamas in power? Who has refused any deal that involves any other ready group like the PA from taking the reigns? Who would absolutely kill any upstart organization? Israel.
At this point, Hamas is a puppet boogie man that conservative Israelis have to prop up because Hamas is their "slaughter Gazans for free" card.