as a long term ex-resident of Germany I must just correct a couple of things in your statements about Germany, although I do basically agree with your statements regarding Germany being a Church State.
Germany does accept officialy Islam as a religion, it has no choice as a state, as it is written in the German Constitution. You are correct when it comes to the removal of head scarfs when having pictures taken for driving Licences, IDs etc but this is because the law states that the head must be uncovered for such photos, no caps, Hats and unfortunately no scarfs, so this is not directly aimed at the Muslim community.
There are many Moshees in Germany, they are everywhere, in fact a new one will be built in Koeln very soon, which will be the biggest in a European non-Muslim country. There are of course unfair laws, a Muslim teacher in a German school cannot wear her scarf or cover her head as this represents a religous view in a school , yet a nun can wear her Uniform.