A discussion between a typical patriot and loyalist would probably have touched on a number of issues. The biggest issue would have been a dispute between "natural rights" and the idea of duty and loyalty.
A patriot would likely have emphasized the idea of natural rights. He or she would have argued that Americans were just as good as people in England and deserved to be able to govern themselves. A loyalist would likely have emphasized the need to take the idea of loyalty seriously. He or she would have pointed out that Americans had a duty to remain loyal to the country that was their ancestral homeland and which had protected them and helped to create their colonies. It would have been an argument, in a sense, between individual rights and the duties that come with being a citizen of a country.