The Islamists simply are not socialists of any type. Not all bad guys are. Or at least they’re not all socialists. Socialism is by definition pretty thoroughly opposed to Islam.
Talking about this intelligently requires defining terms. Notably Islamism, Fascism, socialism and national socialism.
If you don’t agree on what these terms mean, a discussion is pretty worthless.
For instance, socialism is not = Marxism, which is simply one of the many subgroups of socialism, albeit the most popular.
So you’re dictating to Islamic Socialists that they aren’t socialist. I see.
Socialists are what they do. Their chief characteristic is government takeover of means of production where they dominate; their secondary characteristic is global imperialism. There are religious socialists (which ought to be oxymoronic) and antireligious socialists.