I think Monica's point is that we shouldn't jump to conclusions about what the historical Jesus would have had to say about contemporary socio-political situations. The "woe to you ..." passage from Matthew 11 that you seem to be citing is a case in point. 

Most Scripture scholars believe that the unfavorable comparison of the three Jewish cities (Chorazin, Bethsaida and Capernaum) to the three Old Testament cities of Tyre, Sidon and Sodom was just another example of Matthew's predominant theme of God's extension of the covenant to the Gentiles. It shouldn't be interpreted literally or, worse, as proof that Jesus approved of the blanket condemnation of whole groups.

We should form our convictions about such things as immigration and compassionate outreach to refugees from prayerful discernment and reflection on the whole of Christian social teaching. But cherry-picking isolated Scripture passages that seem to support our own preconceptions and biases is never a good idea.