It seems like a quite pointless discussion since you both seem to have already decided your minds.
They don't accept your sources? Why? If they really are valid and they just cherry-pick sources, then there is no way of convincing them.
On the other hand, you also just seem to dismiss their counterarguments without much thought. If they can give a counterargument for your every argument, then maybe your arguments actually aren't good?
Whether it's a good thing or not depends entirely on your philosophical views. There is no objectively correct answer, and which arguments may convince someone very much depends on the values and perspectives of the person you are trying to convince.