Yes, if we yield to the Holy Spirit, we are walking in the Spirit and not the flesh.
But we are walking by faith and are not trying to keep the Law, we are focused on staying in obedience to the Holy Spirit.
The Law is fulfilled by love, and when we are controlled the Holy Spirit, He gives us the fruits of the Spirit, one of which is love.
"... and are not trying to keep the Law"
This is where your theory falls apart.
Don't get caught up in all the minutiae.
Read your Bible, OBEY God, and live your life.
Help those you can, and share what you've learned with others freely.
"Free received, freely given."