The idea of Western supremacy is based on myth. The „Clash of Civilisations“ is another, dangerous, myth. For much of history Western Europe as we know it was perched on the far edge of civilisation. When it finally burst forth it brought much good to the world, but also suffering and bloodletting on a new scale.
Muslims, like other peoples of Asia and Africa, have cause to remember slavery, colonialism and other ills inflicted on them by the West. They have a right to resent being told they must recognise the superiority of Western civilisation.