Does Psalm 139:7-8 teach that the Holy Spirit is God?

The "Iglesia Ni Cristo" teaches that the Holy Spirit is a lesser being than God, and is not God. Is this what scripture teaches? What does the Bible say about the Holy Spirit?

Psalm 139:7-8 (ESV) - Where shall I go from your Spirit?
Or where shall I flee from your presence?
8 If I ascend to heaven, you are there!
If I make my bed in Sheol, you are there!

The Bible tells us that, among many other attributes, the Spirit is omnipresent (he can be everywhere at once.) Only God could be everywhere at once, therefore the Spirit is God.

There is nowhere to hide from the Spirit

Anywhere on Earth, in heaven, or Sheol (the grave), the Spirit is present there. No other being is omnipresent-- even Satan and the angels are not everywhere at once. Only God can be omnipresent, therefore the Spirit must be God.

"God's Spirit" and "God's presence" are used synonymously

The author of the psalm equates the Spirit with God, by saying "I cannot hide from the Spirit", and "I cannot hide from God". He does this, because the Holy Spirit is God. Associating the Spirit so closely with God would be blasphemous if the Holy Spirit were not God.

Conclusion

The Holy Spirit has attributes that only God can have. Psalm 139 uses the omnipresence of the Spirit to show that the Spirit is God, because God is omnipresent. The truth of scripture is clear: the Spirit is everywhere that God is, and must be God.