It is misleading to refer to the imperial project in the Muslim world as “the Crusaders”.
Sure, for propaganda purposes, to mobilize opposition, the historical connotations of the term are useful, but this is not a Christian project per se.
If the global owners of capital support the spread of Christianity, it is only because Christianity renders the population more pliable and easier to manipulate because it has no law, no Sunnah, no social, political or economic system, and because it emphasizes the supremacy of the nafs as a source of guidance.
The religion of the Empire of Capital is not Christianity, it is secular materialism. They are not interested in making people worship anyone other than themselves.