What the verses from Paul shows here is the theory that "How can one at enmity with God truly desire God? He cannot, until God gives him new birth." is not true. Paul says that he as a man, "can" delight in the will of God, but the flesh overpowers him. It shows that man has the ability to desire good. He goes on to say:
Rom 8:2-3 For the law of the Spirit of life in Christ Jesus has made me free from the law of sin and death. For what the law could not do in that it was weak through the flesh, God did by sending His own Son in the likeness of sinful flesh, on account of sin: He condemned sin in the flesh,
He talks of two laws, the law of "sin and death", what He was talking about before, the inability to do good, though he willed it, and now the new law "the law of the Spirit of Life", a law that empowers him to live the way he wants to, in a way that pleases God.
When he then states:
Rom 8:6-9 For to be carnally minded is death, but to be spiritually minded is life and peace. Because the carnal mind is enmity against God; for it is not subject to the law of God, nor indeed can be. So then, those who are in the flesh cannot please God. But you are not in the flesh but in the Spirit, if indeed the Spirit of God dwells in you. Now if anyone does not have the Spirit of Christ, he is not His.
He is not stating he is totally depraved, he is referencing back to the struggle with the flesh. That he can not live righteously without God's Spirit enabling him. But looking back even in the warring state, he still maintains the "will to do good".
Let me try to be more specific. You (and so many others here) seem to think that natural man, though spiritually dead, though depraved, is only sort of spiritually dead, not utterly depraved. Scripture shows that even in their supposed "obedience" (which is really only compliance), they do so for their own self-centered reasons —it is not obedience, not submission of will. I have to add, even in that very act they think is submitting the will, the lost are not utterly submitting the will, as is evident later by their disobedience. (This is what the Reformed/Calvinist are referring to as total depravity —not that anyone is as bad as they could be, were God to remove his restraining hand, but that those at enmity with God are bad to the core, and unable to please God nor to submit to him.)
In your construction:
"Here we clearly see, the nature of the unregenerated man, he can "
agree with/delight in the law of God", but has no ability to carry it out. It is this will that activates salvation.", you take this will that, as the passage says, "delights in God's law", to be not corrupt to the core, yet you admit that it is unable to carry it out. It is THAT inability that is described by Total Depravity. The delight is fleshly, and powerless, helpless. It cannot 'activate salvation'. Only God himself, the Holy Spirit, can do that.
I don't mean to be depressive or disparaging, but I have to say, your construction: "
It is this will that activates salvation."
What the verses from Paul shows here is the theory that "How can one at enmity with God truly desire God? He cannot, until God gives him new birth." is not true. Paul says that he as a man, "can" delight in the will of God, but the flesh overpowers him. It shows that man has the ability to desire good. He goes on to say:
Rom 8:2-3 For the law of the Spirit of life in Christ Jesus has made me free from the law of sin and death. For what the law could not do in that it was weak through the flesh, God did by sending His own Son in the likeness of sinful flesh, on account of sin: He condemned sin in the flesh,
He talks of two laws, the law of "sin and death", what He was talking about before, the inability to do good, though he willed it, and now the new law "the law of the Spirit of Life", a law that empowers him to live the way he wants to, in a way that pleases God.
When he then states:
Rom 8:6-9 For to be carnally minded is death, but to be spiritually minded is life and peace. Because the carnal mind is enmity against God; for it is not subject to the law of God, nor indeed can be. So then, those who are in the flesh cannot please God. But you are not in the flesh but in the Spirit, if indeed the Spirit of God dwells in you. Now if anyone does not have the Spirit of Christ, he is not His.
He is not stating he is totally depraved, he is referencing back to the struggle with the flesh. That he can not live righteously without God's Spirit enabling him. But looking back even in the warring state, he still maintains the "will to do good".
I wanted to mention, the narrative I hear sometimes from the Arminian, describing either theory or experience or both, where one gradually or in stages ascends to the point where they yield their will to God, does not to me sound to me to oppose the regeneration that Calvinism posits, except in the causal order the Arminian necessarily arranges it. Regeneration is necessary grace for faith and salvation, according to Scripture, not just in theory but in several statements as to the inability of man before regeneration —that seems to me plain as is, with no need to justify it— and not only that, but the regeneration is a change as radical as resurrection, yet there is no implied statement of temporal sudden-ness. Repeatedly I have found myself agreeing with the narrative I hear, sans the 'implications' drawn by the narrator, and hear myself saying, "YES! THAT is regeneration!" And when the narrator has continued with the claim that regeneration follows the submission of the will and repentance, I think, "YES! But that is not regeneration, but the finally recognized effect of being born again. It is the subjective experience of the objective fact of 'living water', etc.
Anyhow, take it for what it may be worth to you to hear. The major pain I feel at the claim of the Arminian, concerns man's complete helplessness, and the utterly comprehensive Grace of God in the Gospel. The tears of joy and fellowship I find at singing with other believers, that old hymn, of the wonderful grace of my Redeemer, are also tears full of pain and intense longing for Him. And I find that very thing, in many others here on this site, who think they hate the Gospel I hold to, because of the implications they think it makes. —What, I ask, is wrong with the notion of God having predestined sin and the loss of many to eternal condemnation? Only that they think it necessarily implies that God is unloving, unjust and capricious. I completely agree that God is not those things. They completely agree with me that salvation is by grace alone, through faith alone, but I think their narrative ascribes worth and ability to man aside from his use by God, and an ability that in some way detracts from grace. Yet the deepest basics we do agree on, that God is sovereign over all things, and that salvation is by Grace, regardless of our narratives. And THAT, brother, I can fellowship with.