Like many other things, you have it backwards.
You don't receive the Holy Spirit so that you can hear and believe the Gospel. The Holy Spirit is present in the Gospel. Listen to what the scriptures are saying.
"In whom you also trusted AFTER that you heard the word of truth the Gospel of your salvation" Ephesians 1:13.
"So then faith comes by hearing and hearing by the word of God" Romans 10:17.
We hear, we believe and then we receive the Holy Spirit.
The reason that no one receives the Holy Spirit before they hear and believe the Gospel is because God must see the one that hears and believes "In Christ" before he gives them his Holy Spirit. If God does not see you "In Christ" you will not receive the Holy Spirit.
You must be born again by the word of God, which is the Gospel, 1 Peter 1:23.
Good post.