Does simple water immersion into water really baptize you into the death of Christ when God is not involved? Surely not. This is why the early church was also baptized into the Spirit when they were water baptized as a part of receiving Christ as their Savior.
You've accurately pointed out that, without God, the water is just water, and thus does nothing. But your solution to this is to introduce something new, rather than to take what is already there.
Baptism is never just the water. Rather, Baptism is always water with the Spirit (John 3:5), water with the word (Ephesians 5:26).
It is precisely because the Spirit is there with the water, precisely because God's word is there, with the water, that it isn't just water, but is instead
Baptism.
Nobody believes that getting wet saves a person.
When we say that Baptism brings us new birth, forgiveness of sins, salvation (etc) we don't mean the water, but the
Baptism. And Baptism is always,
always water WITH the word, water WITH the Spirit. It is always water connected to God's word, God's power, which makes it
God's work. As it is God who works to regenerate us by giving us faith, by giving us the Holy Spirit, by uniting us to Christ's death and resurrection, etc. It is God who does this in Baptism, His word accomplishes this, because His word accomplishes what it is given for (Isaiah 55:11).
The Holy Spirit is fully active and present in the Sacrament of Baptism. Without Him, it wouldn't even be Baptism.
EDIT: If all you're saying is that the Holy Spirit is there, and that we are receiving Him and His work in Baptism, then I completely agree with you. It's just that I wouldn't call that "baptism with the Holy Spirit", as I believe that exegetically this is incorrect; baptism with the Spirit refers to something very specific. We do receive the same Holy Spirit that was poured out on Pentecost (that's what the baptism with the Holy Spirit is, according to Scripture); we receive Him through faith, and thus we have been sealed with the Holy Spirit through faith (Ephesians 1:13), we have received Him through our baptism (Acts of the Apostles 2:38). And thus we share in the fullness of life from the Spirit, the same life and vibrancy that was poured out on that ancient day, and which has been ours since the beginning: Wherever the word is preached and the Sacraments administered, there the Spirit in all His fullness still is. Converting us, saving us, sanctifying us, holding us in Christ, holding us in faith to God's promises, and preserving us here and in death to the hope of salvation which is ours in Jesus freely as grace.
-CryptoLutheran