"The" implies it has some right to exclusivity. This is untrue and misleading. It should remove "The" and use "A".
Next, the use of the word "Council" implies a State sanctioned, legally enforced and democratic mandate. It has none of these things. Remove the word "Council" and replace with another to suit their mechanism for membership and their behavour.
"A Muslim Cabal of Britain"
That is more accurate.