Jesus doesn’t dismiss our fears.
He spends much time telling his disciples that we’ll experience much that drives to the hearts of our anxieties.
And he goes to the very heart of fear itself, experiences it all, and emerges victorious, for us.

From Winn Collier.

“Incarnation is the place,” says Kathleen Norris, “where hope contends with fear.” Perhaps this hints at the reason, if Jesus was familiar with fear, he was not distraught in the boat that was battered by the ferocious storm. He was not afraid because he was aware of God the Father with him. Perhaps this also tells us why the cross evoked such a different, disquieted response from Jesus. There, as the sky turned black and as Jesus cried out as only a forsaken man could, God was nowhere to be found. That is a place of terror.
Christ has known ultimate fear. He has known fear in ways we never will. It is not that Jesus is unable to understand the range of our fears; it is that we are unable to understand the depth of his. We must resist any easy notion that Jesus never knew fear. This does injustice to his humanity, and it offers little hope when fear engulfs us. How can we say God is truly “with us” if he has not been at times immersed, like us, in the torrent of fear?
This God-incarnated, this blood—and—bone God—in-Jesus, came to “contend with fear.” He did not come only to face nobly fear’s blunt force … and die. Jesus’ face—off with fear did not conclude on a darkened Friday when hope was lost and hell quivered with pleasure. After cross came resur— rection, and in the mysterious hours between the two, Jesus took death and sin—all that makes up the foul side of fear—and placed them squarely under his crushing heel. Fear unleashed all it possessed on Jesus, a torrent of death and shame and abandonment and sin, enough to finish even the strongest of men. But fear did not destroy Jesus; Jesus destroyed fear.
Our comfort and courage do not come from a Jesus who was unmolested by fear; our Comfort comes from a Jesus who went into fear’s very bowels … for us. He drank in every acidic ounce of fright and distress and vexation. For us, he drank it in. And now, as he stands leaning toward us, Immanuel asks, “Why are you afraid?”.

Winn Collier, Holy Curiosity, Baker Books, 2008, pg 53-54.