Christ is the WORD. So, He comes from the Father and is a part of the Father. And the verse that speaks of the Father living in Christ, also speaks about how the Father is doing things (miracles, what is said, preaching) while being in the flesh body of Christ. It seems rather clear here the Spirit and flesh work as ONE.
So, if while in the body of Christ the Father is performing these miracles and doing all of the talking, how do we know without the Father being inside Christ, that Christ has the same abilities?
The more you see of how Christ the body and the Spirit of God work, the more it becomes clearer they are ONE and the SAME!!