>Especially if member States doesn't increase budgets for handling said immigrants

You don't need more budget for migrants, but less budgets for migrants, removing the welfare incentive so they stop coming.

Just be Like Singapore. They don't have a migration problem. It is really that simple. Stop funding NGOs that treat your welfare state like a charity for the entire planet to come and feast one. This is not part of the social contract of the welfare state, nor is it economically sustainable long term.

>Aren't we as a western society responsible for the destruction and destabiliztion of the eastern countries?

Who is this "WE" here? My and many countries in the EU didn't do anything to destabilize the word stage so don't try to pin this "original sin" on me and us. If some EU nations have some guilt they wish to wash due to their colonial past, it should be their consequences alone, but please don't drag everyone down with your sucidian empathy because this is how you guarantee the rise of the far right and how you destroy Europe.