I'm part of the People of God too, and I agree with Christ's teaching on divorce, remarriage and adultery.

I know from a distance in a small way the effects of the scourge of divorce (as VII puts it): a extended member of my family divorced his wife of many years for a younger woman. This decision has ripple effects and created damage to the family. I would hope for the good of his soul he refrain from partaking in Holy Communion until such time he refrains from adultery. 

And if Jesus' teaching was about offering support to women, why did He also forbid a divorced woman, who presumably needed a man's economic support, from remarrying as well?