No one has a right to migrate to a country.
no but it would be strange that muslims would have fewer rights.
Why? Europe is historically a Christian continent and Islam has been "the other". The enemy you tried to keep out.
Yet Muslims historically controlled much of the Iberian peninsula and the Balkans.
And were rolled back through centuries of reconquest (with numerous setbacks) ending with the first Balkan war 1912-13, thus reinforcing their role as the external enemy European identity was defined against.