It is an ideology (which is) incapable of inspiring the world (in the way that) the Western love of freedom, liberty, and justice can (inspire the world).
It is an ideology [ which is incapable of [ inspiring the world in the way [ that the Western love of freedom, liberty, and justice can inspire the world ] ].
The ideology can not inspire the world in the way [ that the Western love of freedom, liberty, and justice inspires the world ] ].
@ in such a way as A in the way that B in such a way that C in the way how