Why don't you expand your awareness of what Christ told Christians about whom they should love and how they should love them?
Matthew 5:43 "You have heard that it was said, 'YOU SHALL LOVE YOUR NEIGHBOR and hate your enemy.' 44 But I say to you, love your enemies, bless those who curse you, do good to those who hate you, and pray for those who spitefully use you and persecute you, 45 that you may be sons of your Father in heaven; for He makes His sun rise on the evil and on the good, and sends rain on the just and on the unjust.
Christians are called to remember that in God's sight no one is "good" because...
Romans 3:23 for all have sinned and fall short of the glory of God,
...furthermore, Christians can judge how a person's actions may or may not match up with what the Bible says is sin or not but they are to remember that it's only by God's power that a person can break the rule of sin over their lives. So an educated and faithful Christian thinks about passages like these when it comes to looking at other people who seem to be "bad" as compared to themselves...
Ephesians 2:1 And you He made alive, who were dead in trespasses and sins, 2 in which you once walked according to the course of this world, according to the prince of the power of the air, the spirit who now works in the sons of disobedience, 3 among whom also we all once conducted ourselves in the lusts of our flesh, fulfilling the desires of the flesh and of the mind, and were by nature children of wrath, just as the others.
4 But God, who is rich in mercy, because of His great love with which He loved us, 5 even when we were dead in trespasses, made us alive together with Christ (by grace you have been saved),
So it's not "right" for a Christian to show love to another backsliding Christian just because they are a Christian but not show love to an unsaved person.
But it's also not "right" to only love "good" people whether you are a Christian or not because God says there are no "good" people, that until we get saved we are all lost sinners on the highway to Hell, and He commands us to love our neighbors as ourselves independent of how "good" or "bad" they might be and to even love our enemies and pray for them.