Many of God's children, such as yourself, are using other versions of the bible that have been changed to indicate that man has to allow God to eternally save them , the King James version for Eph 2:3 reads, "and we were by nature (1 Cor 2:14 ) the children", not, as your version states, "we were by nature DESERVING of wrath" Even though we are now born of the Spirit, we are by our fleshly nature still deserving of wrath. You ask the question "where in this portion of scripture does it say anything about God giving his Spirit to anyone who is dead in sin". The King James in Eph 2:5, says, Even when we were dead in sins, hath he quickened ( made alive ), us together with Christ, by grace ye are saved. Being dead spiritually ( being dead spiritually means that you can not respond, discern, to anything of a spiritual nature ( 1 Cor 2:14 ) and brought to spiritual life, is being born again, of the Spirit. Eph 3:15 the word "believeth" is present tense, not will believe. The King James does not say in verse 5, MAY have eternal life, but, should not perish, but HAVE eternal life, not may have. There is a difference, don't you think? The natural man, void of the Holy Spirit may look at the creation that God has created, and think that it is beautiful, but he will not connect it to anything that is spiritual such as God who is a Spirit. according to 1 Cor 2:14.
Receive what God has written and turn from your sin to Christ who alone can save you. Be as earnest as the Philippian jailer.
Ac 16:30 And brought them out, and said, Sirs, what must I do to be saved?
For the cause of Christ
Roger