I am not so sure 'Islamophobia' is behind the 'populism' rising in Europe. Many migrants & refugees from theocratic nations grew up in societies where ONLY the Islamic religion is practised while all other forms of religion are considered to be apostasy, punishable by prison, even death. Such beliefs can create an indelible influence. After migrating or fleeing their homelands, many organize to insist host nations change to reflect the beliefs of their homeland. If migrants promote their values & beliefs, why shouldn't citizens in host nations assert their own? If you allow someone to enter your home, you don't expect them to rearrange the furniture, etc, throwing out what they don't like.

There is a slippery slope to such cultural relativism, especially where politicians see potential votes. President Erdogan eliminated evolutionary theory in schools to favour Islam. We do not use old religious texts to design machinery or medical procedures; old ideas cannot design a modern society.