You need to remember that second part. Before you can Love GOD, before you can love others, you first must love yourself.
Actually Jesus stated the opposite, that is, to hate oneself:
Luk 14:26 If any man come to me, and hate not his father, and mother, and wife, and children, and brethren, and sisters, yea, and his own life also, he cannot be my disciple.
Albeit, men and women argue and twist this scripture every conceivable way.
More on topic: "Should the Bible contain the OT?" as per Jesus' words?.
(1) From a legalistic viewpoint: That Jesus thoroughly quoted the OT (probably more than anyone) might be another indication for OT 'exhibits'.
On the other hand:
(1) I'm not sure the simplified OT Jewish religion (i.e., 'Love God and neighbor') is a viable mechanism anyway, as it denies Christ: that Jesus is not the Redeemer, the Atonement, the Gospel, the Resurrection, the New Life, etc.
(2) The OT seems dead as far as carnal ordinances are concerned. It seems even dead to most Jews who don't observe and obey those fastidious sacrifical ordinances.
(3) Evangelically, It might be argued that the NT Gospel does not require OT exhibits, at all. I.e., Romans, John, Revelation, and Hebrews are *key* evangelical writings.