I believe they are lost because they are born without Christ.
All mankind is born with an Old Sin Nature once we become accountable for our sinfulness we must believe on Christ for salvation.
That old nature to sin dominates the unbeliever who is totally depraved.
The old nature remains in us after salvation but no longer has dominion in our lives, we still are tempted to sin by that old nature after salvation.
Christ has paid for our sin but we need to admit we are sinners in need of Him as our savior and the Holy Spirit draws through conviction all who hear the gospel.
Don't understand what you mean by this.
Their will is free to believe or reject Christ as was yours and mine.
All unbelievers are born under the curse of sin and are born Spiritually dead in trespasses and sins.
In that state as Christ stated they are condemned.
The baby and those who don't have sufficient mental capacity are not accountable for sin, when they become accountable that is know right from wrong and can realize themselves sinners they are in a state of innocence as was Adam and Eve till the Fall.
Romans 8:2
For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death.
So Paul was wrong?
Of course. So how does a dead person do something to be saved? "Believe" is a verb. Something you do. "Exercise" faith is a verb, something you do. How does a dead person "do" something?
1 Corinthians 2:14
But the natural man (spiritually dead, as you correctly said, above) receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know them, because they are spiritually discerned.
Not only can't he do something, he can't even know what to do.
Salvation is by the Grace of Almighty God, by the Sacrifice of Christ for us, not by anything we do.
False, try again. "Knew" never means "Knowledge" in scripture, it's a bad translation into English, "Adam KNEW Eve" and they conceived. God KNOWS EVERYTHING, CANNOT LEARN ANYTHING, it means a loving Relationship before we were born
Why do Muslims think they are doing God's will? Why do Mormons think they are doing God's will? Etc...
People who think they can work their way into God's grace will do many things that they think are God’s will, but are far from pleasing to God.