Definitions are difficult, when Muslims are members of Islam.

Islamist is "a set of ideologies holding that "Islam should guide social and political as well as personal life."
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"Islamists generally oppose the use of the term, claiming their political beliefs and goals are simply an expression of Islamic religious belief. Similarly, some experts favor the term activist Islam or political Islam and some have equated the term militant Islam with Islamism.."

From Islamism, an article in Wikipedia.

Shouting about your particular usage is childish.

Also childish are the stupid he said/didn't say arguments, gone over and over again.