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.