The Catholic Church teaches that Jesus was fully human and fully God.  He was perfect man and perfect God, nothing was missing.

God "uses" all of creation, and you and me, to bring all souls to Him!  He uses gravity. He uses rain. He uses family. He uses marriage.  He uses our virtues. He uses our lack of virtue. 

I don't believe there is any way to tease apart these two notions of Church that some here describe but none seem able to give it an intellectual defense.