It's the Left that: - is against Israel - supports Hamas - is against neocons and meddling in the Middle-East - is anti-free speech - is fanatically religious in their beliefs that have no base in reality and are cheering on the death (professional cancelling or real) of the people who dare to disagree with their delusion - are antiscience (antibiology, for one) - are for mutilation of children

The list can be continued.

My point is that classifying Islamists as right-wing is an attempt to gaslight people, to lie to them, is purposefully misleading. Context and public perception matter.