I consider that to be very much what is wrong with much of Christianity today. It is an attitude of taking scissors to the Bible. It is the belief that we can ignore parts of the Bible and rely on our own wisdom instead of the Word.
Further, Jesus often quote scripture (Old Testament) so we know it is relevant. To assume otherwise would be to assume that your understanding of God, and his plan for mankind is greater than Jesus. A very dangerous position in my opinion.
I love the Old Testament. There are incredible amounts of great insights and comfort to be gained from it.
But it is for our learning, not for our law. We are under the New Covenant today.
Not taking scissors to the Bible also means not ignoring Scripture that says that the Old Covenant has been abolished (Ephesians 2:15; Hebrews 10:9), cancelled (Colossians 2:14), and is obsolete and growing old is ready to vanish away (Hebrews 8:13).