All three of these passage are communicating basically the same message, which is...
Natural man, if left to himself, (1) cannot please God, (2) cannot understand things of the Spirit of God, and (3) cannot make themselves alive UNLESS enabled by an act of Grace. But praise be to God, man is not 'left to himself,' and God's gracious work, through means of His Bride, is sent into all the world. God steps into humanity, dies for their sin, is resurrected to new life, and inspires a powerful appeal for reconciliation sent to everyone of His enemies. Is that work sufficient to enable his enemies to respond? I believe so. Nothing in the scriptures suggests it isn't. In fact, Christ himself says that man will be judged by that message (John 12:42) and thus there is NO rational reason to suggest that men are incapable of willingly responding to it.
Notice that not one of the verses you list even mentions the gospel, yet these are the three most referred to text to support the Calvinistic concept that man is unable to willingly respond to the gospel.
Romans 8 refers to man's inability to submit to God's law, not his inability to respond to God's gracious appeal for reconciliation. And it tells us that acting in the flesh won't ever please God, it never suggests that acting otherwise once confronted by Grace isn't possible.
1 Cor 2:14, simply tells us that we need help understanding the things of the Spirit, which we all affirm, but does such help have to be effectual for God to get the credit for helping? If so, why?
And in Ephesians, were it speaks of being dead in our sin, should we also conclude that since corpses can't respond positively to the gospel appeal that they likewise can't respond negatively to it too? And since elsewhere Paul also concludes that believers are 'dead to sin,' so does that mean Christians can't choose to sin? And doesn't James (ch 1) use the analogy of spiritual death to describe someone who has grown hardened over a period of continual rebellion, and not as a condition from birth? Plus, if the Gospel is, as reported in scripture, a powerful life-giving truth, then why conclude that 'spiritual death' prevents a response to such a powerful work of God?
Men are born enemies of God, thus God sends an appeal for reconciliation
Men are born unable to understand God, thus God sends supernaturally inspired messengers and breathed scriptures
Men are born dead in sin, thus God sends a life giving message of hope
Men are born slaves to sin, thus God sends truth which sets men free
Why do Calvinists insist God's work in sending the Gospel is insufficient to enable men to respond willingly? And please don't quote John 6, because the gospel hadn't been sent yet...and the truths of the kingdom where being hidden from Israel in parables as they were being blinded from the truth of who Christ was. It was ONLY after Christ was lifted up that he sent his appointed messengers with the gospel appeal to preach to every creature. That is when he begins the work of drawing all men to himself.