New Testament Worship

I've been listening to John Piper on the radio and he is talking about the idea of Worship in the New Testament. He talked about the word used in the Old Testament and in Revelation carries the idea of falling down before someone/something. But this idea is strangely absent from the epistles. He explained from Scripture that Jesus changed the nature of worship when He came in the Incarnation. As pointed out in John 4 (the Samaritan woman at the well) Jesus says, "...a time is coming and has now come when true worshippers will worship the Father in spirit and truth, for they are the kind of worshippers the Father seeks." (emphasis added)
Piper went on to explain that, with the advent of Christ, worship is no longer a matter of where or by what ritual. It is now a matter of the heart and mind being bowed before Him and His will.
While Piper was going through all this, my mind kept going to the passages in the epistles where Paul states in 1 Cor 3:16 that we as believers are the "temple of God", and in 1 Peter 2:5 where Peter writes that we, "as living stones, are being built up as a spiritual house for a holy priesthood." What an amazing thought. The central focus of Jewish worship until 70AD was the temple in Jerusalem (prior to that, it was the tabernacle). Yet, with the coming of Christ, all of the outward manifestations of worship were done away with. Now, mankind is to worship God through their submissive spirit, following His word as truth, and offering themselves as a "living sacrifice" (Rom. 12:1) to the Almighty and Holy Lord.