Not true. But the rest of your views and comparisons (particularly between Latinos in the U.S. and Muslim immigrants in Europe) are on the mark.
My country has about 2 million 'Muslim' migrants (i.e. migrants from predominantly Muslims countries, even though they may have any other religion or none at all), which is about 1/8 of the population.
In the U.S. that percentage would amount to 37 million Muslim migrants. As it stands, Islam is marginal in the U.S. with about 0.5% of inhabitants. The U.S. has about 15% 'Hispanics' (i.e. people from Spanish speaking countries, even though they may not even speak Spanish themselves) who immigrated more or less recently. Since most Hispanics have low education and seek manual jobs and such, the comparison with Muslim migrants in Europe is in some ways useful. But the US. has not had a comparably swift and masive influx of low educated migrants with a different religion from that of the host country.
Of course all such comparisons should be qualified, and qualified again, because of the many differences.
There are Europe-wide numbers but I can't be bothered to look them all up right now. Maybe someone else will, so we can look at the whole picture.
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