This is another one of those issues where Evangelicals are clearly not paying any attention to the life of Jesus. He lived in a world, after all, socio-politically dominated by the Romans.
Beards and other barbering styles cycled during the thousand years of Roman dominance of the Mediterranean, but during Jesus's lifetime, elite Roman men and Roman soldiers were clean shaven.
If barbering were important to Jesus, he would have had abundant opportunity to comment on it by talking about Romans. You'd think he would have since many of his followers wanted him to be a spiritual force that would remove Roman oppression from their lives.
When they called him Messiah and King of the Jews, that's largely what they were talking about.
But not once did he utter a word to condemn beardless Romans – not even when a Roman centurion approached him desperate that his beloved servant be healed.
Jesus did not say, "Away, beardless one," did he? He healed the servant and praised the centurion.
Evangelicals just make shit up. Constantly. Twisting the stories in the Bible out of recognition to suit their own cultural purposes.