The only true point of conflict I see between Rand and Jesus is in her personal rejection of what she labels as "altruism", which includes individuals voluntarily choosing to do good deeds just to help others. I think she got a little wonky on that sometimes in terms of discussing charity.
But when people say "Jesus was a socialist", that's nuts. Jesus never advocated that Pilate, or Herod, or Tiberius raise taxes on people in order to redistribute their wealth by force of law. There's no "tax the rich" speech anywhere in the New Testament. And that's how socialists do it. In fact, if you have government doing that, then a bunch of Jesus' teachings become irrelevant.
Jesus advocated private charity -- voluntary giving -- which is perfectly compatible with capitalism/libertarianism. What isn't compatible with His teaching is the government taking everyone's money and then redistributing it as those in power see fit.