Their reaction is different than Jesus' audience outside his home town. The passage implies that they grumble to themselves, "where did this man get this wisdom and these miraculous powers? Isn't this (just) the carpenter's son? Isn't his mother's name Mary, and aren't his brothers James, Joseph, Simon and Judas? Aren't all his sisters with us? Where then did this man get all these things?" (13:54-56)
The next verse is critical: "And they took offense at him." (13:57)
They think Jesus is getting above his station, that he's putting on airs, pretending to be something that he's not. Tradespeople were at the lowest end of the power and influence scale in first-century Jewish society; by right, Jesus should have taken up his father's trade. His choice not to do that probably brought shame to his family. They won't listen to what he's saying because they can't get past who they think he is.
Consequently, Jesus "did not perform many miracles there because of their lack of faith." (13:58) It's not that Jesus' power was diminished, as though it were linked to the amount of faith available. He simply understood that any miracle would have been misinterpreted and distorted. If they would not believe based on the strength of his teaching, what good would a miracle do? Even if they followed him, they would have done so for the wrong reasons.
I do the same thing with Jesus all the time. I get stuck on my own perverse understanding of who the Savior is, and I stop listening. I won't leave my agenda and take Jesus for his (which is what "repent, and believe the good news" means), and as a result there isn't much he can do for me. My heart is hard, my eyes are closed and I am hard of hearing, as Jesus would put it (quoting the prophet Isaiah). Anything he did for me would simply be misinterpreted. I would follow him for all the wrong reasons.
We follow the broken, bleeding One, the Son of Man who abdicated the throne and became humble, just like us. If we make Jesus into another power source, something we engage so that we can be victorious over sin, then we miss the point, I think. We close our eyes to the powerlessness and humility that God intends for us to see and to model. Jesus simply reinforces our already-raging egos, which feed fantasies of accomplishment, achievement and perfection.
We are supposed to see the carpenter's son whose brothers and sisters live next door to us, the son of Mary, a man like us in every way. We should take full account of Jesus' humanity and not reject it in favor of divine power. We must turn to face the naked, suffering Jewish man executed on a cross by the Roman government.
We must accept him as he presents himself to us and not remake him in our own image.
"Blessed is the one who does not take offense at me." (Matthew 11:6)