Amongst over a hundred Muslim names, there is a handful of non-Muslim names. Interestingly, they are journalists and politicians: the very people required to advance Islam in the UK.
There are around three names in that list that can also be Sikh or Hindu: Khan, Patel and Shah. However, they are very probably Muslims too. My bet is that Sikhs and Hindus in the UK probably get a harder time from Muslims than whites.