Romans 8 says that the carnal man is one who is setting his mind on the things of the flesh, but the spiritual man is setting his mind od things that are spiritual. Christians can fall back into contemplating the desires of their flesh and become carnal. Spiritual and carnal are not permanent states.
An unsaved man whose mind is focused on considering spiritual things can receive the teaching of the Holy Spirit and become persuaded about the love, saving work and glory of Jesus Christ before being born again through putting faith in Jesus. To a person, whether born again or not, who's focussing their mind on their own carnal desires, the things of the Holy Sprit seem foolish and unattractive.
Respectfully, I disagree with your interpretation of the scriptures.
Once a person is born, with the indwelling of the Holy Spirit, (Eph 2:1-5) they are "babes in Christ", They are in Christ and Christ in them. Once a person is born again, they have God's promise of an eternal inheritance (Eph 1:11).
Although we have been born again of the Spirit, we still carry the baggage of our fleshly nature, and do, at times, yield ourselves to the temptations of the world (Rom 7)which separates us from our fellowship with God, temporary, until we repent. We do not lose the promise of our eternal inheritance, just our fellowship with God temporary until we repent.
The babe in Christ's mind is focused on spiritual things, but he does understand the doctrine of Christ (Isaiah 28:9).
The natural man that has not been born again, with the indwelling of the Holy Spirit cannot receive the things of the Spirit. Not the spiritual things that the mature born again christian can receive, nor the spiritual things that the babe in Christ, that are not mature, can receive.
The natural man, as described in 1 Cor 2:14, will not repent of breaking a spiritual law of God that he cannot understand.