I agreed with most of what you posted, but you have a misconception about these "welfare states". The immigrants end up on welfare because they are not allowed to participate in the economy. Why? Partly because of bureaucracy, and partly, one might say also because of other reasons: protectionism, discrimination, ...etc.
I think we're saying very much the same thing. Welfare to immigrants in Europe has become a tool to compensate for other elements which make finding work or gaining advancement difficult; so it is a subsidy meant to protect "native" jobs by isolating the foreign labor force. It serves a double purpose to prevent the integration of new arrivals. Worst of all, it attracts people who think they don't need to work. All of these things can be true at the same time.
