Scripture clearly says that God hates evildoers, specifically those who victimize others such as the poor. Yet it also says that God is not willing that any should perish, that God takes no pleasure in the death of the wicked, wanting them to repent and live. I don’t believe there’s any sinner or sin which can’t be forgiven through God’s grace in Jesus.
God’s jealousy may be with reference to God’s infinite, cascading love. When people don’t give God something of the honor due him, or worship other gods in their hearts and lives, then God’s jealousy is aroused.
God is grieved when God’s people sin against him and others in their attitudes and actions, especially when they fail to love each other as Christ has loved us. That too is an expression of God’s love.
God in his love pursues us, and wants us to experience that love and be changed by it. So as to love out of being loved. God wants us to live in the same love that marks God as Trinity: Father, Son, and Holy Spirit. The same love shown to us and to the world in Jesus in his Incarnation, life and teachings, death and resurrection. Especially prominent and made known in Jesus’s death on the cross. That is how much God loves; God died on the cross in the Person of the Son.
Yes, God’s love goes on. But what is our response to that love? By what theologians call prevenient grace, God enables us hopeless and lost sinners to open our hearts to God’s heart through the gospel, the good news in Jesus. The question becomes not whether God loves everyone or not, because even though he may hate for a time, it seems to me from scripture that eventually God’s longing love wins out, and he would woo even the worst of sinners to himself. The question turns in on us. Will we respond? And the danger is that we will grow careless and hard hearted, so that we can be in danger of sinning against the work of the Spirit in prevenient grace, and thus close the door to God’s love for us, and perhaps seal our fate by our own choice.
Yes, no matter what, God is love, and God loves. That is shown within scripture and supremely and climactically in Jesus himself. We need to learn to read scripture and see all of life in that light. And let that change us even toward enemies. Changed by the love of God in Jesus who is love, that we might begin to live and grow in that love toward each other and everyone else.