Oh look! #QatarPapers
Clearly, the Muslim Brotherhood funds Muslim-based "charities", organizations, etc. I'm not surprised that they even paid the legal fees of Tariq Ramadan. But none of that is illegal. As long as the money trail does not show a connection between funding and terrorism, any country can do this. In the US, we have proof that certain Think Tanks (like the Booker Institute) is also funded by Qatar.
The MB is buying influence all over the world. The "Islamization" of the West is taking place ever so subtly, slowly, and gradually using loopholes and democratic institutions in the West.
Yes, I can't remember which verse it is but there is a verse (at least one) in the Q'uran which says words to effect that Islamization of the West will proceed by the West's "own hand." The meaning is, just as you say, our own rights, laws, traditions, etc. will be the way that the West is Islamized.