I'm still puzzled by why so many people seem to think that beliefs about religion have some instrinsic relationship to opinions about politics.

The fact that in certain societies religious views get attached to political issues is a matter of historical chance. The kind of religious beliefs, or hostility to religion, that in one kind of society might tend to coincide with the extreme right in another society might be associated with the extreme left.

There's a lot of different between the actions and beliefs of those running Isis and those running Saudi Arabia ( a lot of similarities too), but the understanding they have of the Quran is remarkably similar in theological terms.   And I don't know where you could place Isis on a left right spectrum.