None really, other than the council will attempt to bury the deceased within 24 hours subject to certain time factors such as weekends and bank holidays, plus they allow burials without coffins, providing the person did not die of a notifiable disease and that the body is covered in timber prior...
I would have thought that multi-faith cemeteries are divided up anyway aren't they? Haywards Heath Cemetery, for example, has separate sections for different denominations, so why not for different faiths?