What DID Jesus Do? He walked in the Spirit while living in this physical world.
HOW did Jesus keep His face on the Father while keeping his feet on the ground? By keeping spiritually fit through regular training in spiritual disciplines.
Some links and references mentioned in this message:
Theopedia.com on inerrancy
“The Infallibility of Scripture,” a sermon by C. H. Spurgeon in 1888
“The Divine Conspiracy,” Chapter 2, by Dallas Willard