How can we love people in spite of their sins and faults?

Even when we give to those in need, unless we feel compassion for them we do not have charity (see 1 John 3:16–17). The Apostle Paul taught that when we have charity we are filled with good feelings for all people. We are patient and kind. We are not boastful or proud, selfish or rude. When we have charity we do not remember or rejoice in the evil others have done. Neither do we do good things just because it is to our advantage. Instead, we share the joy of those who live by truth. When we have charity we are loyal, we believe the best of others, and we are kind to them. The scriptures teach that “charity never faileth.” (See 1 Corinthians 13:4–8.)

The Savior was our example of how to feel toward and treat others. He despised wickedness, but He loved sinners in spite of their sins. He had compassion for children, the elderly, the poor, and the needy. He had such great love that He could beg our Heavenly Father to forgive the soldiers who drove the nails into His hands and feet (see Luke 23:34). He taught us that if we do not forgive others, our Father in Heaven will not forgive us (see Matthew 18:33–35). He said: “I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you. … For if ye love them which love you, what reward have ye?” (Matthew 5:44, 46). We must learn to feel toward others as Jesus did. (https://www.lds.org/manual/gospel-principles/chapter-30-charity?lang=eng&_r=1)