Christ was pre-existent as God, the Second Person of the Holy Trinity before all eternity. When he took on human flesh in time, it was not that God merely dwelt within him, but that he became fully human at that time without ceasing to be fully God.
Christians, on the other hand, have God the Holy Spirit dwelling within them, but it does not make them God.
I am aware. It is not contradictory for Jesus to put His nature in Himself while being born as a human.