Christ died for ALL sin and for ALL sinners. We should have that down pat with no problems because it is the center of everything we believe. Jesus Christ and Him crucified. The gospel is the death, burial and resurrection of Christ. We live by the faith of the Son of God, who died and gave His life for us and we do not frustrate the grace of God. Living in sin, of any kind, is frustrating the grace of God, so we preach the cross of Christ that crucified ALL sin. You can't preach the cross of Christ without involving sin and the sinner because Christ became sin. That means that He paid for ALL sin with His blood as the Sin Bearer and through death, He died in the sinner's place as the substitutionary Lamb.
The sinner, no matter what kind of sin they have lived and participated in, must turn to Christ and believe upon Him as their Sin Bearer. That turning has nothing to do with love but has to do with justice that was met by Christ on behalf of the sinner. For the sinner to be cleansed and forgiven of sin, they have no choice but to turn to Christ through believing upon the Son, who bore their sin upon His body. Once they believe, their own personal sin, that was put away by Christ, is no longer a part of their life, because they have been cleansed from it and have been given the righteousness of God to replace it through the new birth. God declares them righteous without imputing a single sin unto them and they are clean and justified and complete in Christ.
The point is, that you can't separate the sin and the sinner because they are one. You can't have a sinner without the sin. God's justice hates the sinner as much as He hates the sin of the sinner and will send the uncleaned sinner to hell without the Son. But God SO loved the world that He gave His Son to satisfy His justice to give life to the sinner that believes upon His Son. He that has the Son has life and he that has not the Son has not life. Many people have a problem with the sin of certain sinners because they don't understand the justice of God and the sacrifice of Christ. So God sent His Son to deal with sin, so that He could reconcile the sinner to Himself by imputing All sin to His Son and not to the sinner. The sinner is able to be reconciled by grace and through faith in Christ, who put away his sin through the finished work of Christ. The justice of God has been satisfied for us and in us, as sinners, when we believe upon Christ. When we receive Him, we are given grace and power over sin and death.