You state that the new birth consists in asking Jesus to be your savior. However, that merely makes you saved. While prerequisite to being born again, the new birth is not salvation. One must first ask the risen High Priest to cover you with his blood to make you permanently holy. Then you can ask the Holy Father for the Holy Spirit to permanently indwell you, which is the new birth. Luke 11:13.
Sorry, but I don’t buy it. John 1:12-13 says, “Yet to all who did receive him, to those who believed in his name, he gave the right to become children of God– children born not of natural descent, nor of human decision or a husband’s will, but born of God.”
In these verses we have both the first and second birth in view and the only condition is that we believe that Jesus died for our sins and rose again. Luke 11:13 says the Lord grants the Holy Spirit to all who ask, but 2 Cor. 1:21-22 and Ephesians 1:13-14 both tell us the Holy Spirit was given to us as a seal guaranteeing our inheritance when we believed. Therefore Luke 11:13 must be referring to when we ask the Lord to save us. Otherwise the Bible would be contradicting itself.