Islam is that destructive religion. Muslims utilise the InterFaith idea simply in order to indulge in Islamic dawah. Their only commitment to InterFaith is that they will use this vehicle to further Islam. This is similar to the Muslim Brotherhood (say, in Egypt) utilising secular and democratic processes and institutions to destroy democracy (just as Hitler did the years after he had been elected). Hamas has done the same thing.
Do you want evidence? Well, in virtually every Muslim country other faiths are given a lesser status and sometimes they become victims of Muslim persecution and even death. More relevantly, there is no such thing as InterFaith in any Muslim or Islamic country.
Of course Muslims in the UK will proclaim their allegiance to InterFaith and coexistence. That’s because Muslims are a minority and thus they have less political power than the infidel. This is like the Prophet Mohamed preached the InterFaith idea of ‘Peoples of the book’ when he had very little power. When he gained the requisite power and numbers, the coexistence with - and love of - other ‘Ibrahimic faiths’ was utterly negated (via Koranic ‘abrogation’ and Muhammed’s actions).
In addition, the soundbites about ‘peoples of the book’ is bogus anyway. There are very many passages in the Koran of utter hate for all non-Muslims. Not only that. Death should be the prize of these kuffar. Mohammad gave up on InterFaith, or the ‘peoples of the book’, the moment Jews rejected his self-proclaimed status as ‘the seal of the prophets’. From then on, Muhammad did all he could to annihilate Judaism, as well as Christianity in later periods.