God is love. Christ fulfilled the law. So love truly is the fulfilling of the law. We love because He first loved us.
"God condemned sin in the body of Jesus in order that the righteous requirements of the law might be fully met in us who do not live according to the flesh but according to the spirit. Those who live according to the flesh have their minds set on what the flesh desires; but those who live in accordance with the spirit have their minds set on what the spirit desires" (Romans 8:3-5).
Our spirits are our true identity. Our spirits (our new man/new creation) are created in such a way that they not only have righteousness in the sense that they are "right with God" but they also are credited with the perfect obedience of Jesus. They are righteous in the sense that they've already kept the whole law. Our spirits always "live by the spirit." Jesus obeyed on our behalf so to God it is as if we have always obeyed. Disobedience is sin and God remembers our sins no more, He took them away at the cross, so all we have left for Him to remember is good. Because of Jesus' death the righteous requirement of the law is fully met in our spirits.
Therefore if we live according to the spirit by putting our minds on God, His spiritual blessings, and the favor He has for all His children our outward lives will reflect the loving nature He has born into us. If we live knowing the goodness of the nature we inherited from God & live in relationship with the life giving Spirit of Christ within us we will love others like Jesus did and participate in the love He wants to display to those around us today.
Relating to God in the Spirit
While God does engage with us at times He seems to give us autonomy in our relationship with Him. He does not force Himself upon us. James 4:8 supports this idea, "Draw near to God, and he will draw near to you."
Since we approach God through the spirit we have to think about Him to approach Him. Our relationship with God is very practical. If we don't take time to think about Him we usually don't get the benefits of the relationship.
I've been blessed with the opportunities to dwell on God a lot. I personally think about the amazing things He's done for us through the cross. That draws me near to Him and fills me with joy.
Remember, God is the source of all good so God is loving us in many areas where we just don't realize He is involved. God participates in bringing us all the joys of our life. He truly is in sunsets, smiles, laughter, and breezes. He loves us in far more ways than we know. God participates in all the non-destructive pleasures of life.
"You make known to me the path of life; In Your presence I am filled with joy; In Your right hand there are pleasures forever."