Gee, and I posted the song to see how you would react!
The veil is the veil of our flesh. We experience our lives through the doorways of our fleshy bodies, though we live a celestial life. Were we to open our celestial eyes, if you will, we would see, we are seated together in the heavenly realm. We are hid with Christ in God.
This is what it means that we are not in flesh, but in spirit, if the Spirit of Christ live in you.
Before we were reborn, we lived descended from Adam, fleshy children of fleshy Adam, and that flesh having been corrupted by sin.
In our rebirth, we are spirit children of our heavenly Father, using the body of the child of Adam. We experience life through our senses, but we experience God through our spirit.
Sometimes He'll show us things, but the rule of our lives is that we walk by faith, and not by sight.
It's that sight, the living in flesh not yet transformed, this is the veil we cannot see through. But Jesus has already passed through the veil, and holds us fast through the veil,
"I am the resurrection and the life, the one believing into me, though dying, shall live!"
Much love!