Have you ever cared about someone even when you strongly disagreed with what they were doing?
In Parshat Vayera, G-d tells Avraham that He is going to destroy Sodom. Avraham immediately begins praying for the people of Sodom. This is surprising because Sodom was famous for its cruelty and rejection of kindness, while Avraham's entire life was built around chesed, loving-kindness. Why would Avraham pray for people whose values were so different from his own?
Perhaps the answer is that Avraham's kindness came from a genuine love for other people. Even when he disagreed with someone, he did not stop caring about them.
We see a similar lesson from Bruriah in the Talmud. When Rabbi Meir wanted to pray for people who were causing him trouble, Bruriah encouraged him to pray that they should repent instead. He listened, prayed for them, and they changed.
True kindness means caring about people even when they make it difficult.