If you personalize things and call on them to live up to their values couched in religion or the BoR, they will break, unless they have gone too far down the road of hate radio and television. or are looking to profit from something that a Democrat knows harms others.
Go on the basis of total equality under the law, equal treatment and ask questions. Show your zeal and love for those you represent, your passion and the reasons why you will keep on advocating. If you really care about something, it's never about you as an individual. It's about somthing greater than yourself, a universal value.
They will respect when you tak the time to explain, that you see no other solution to certain things other than what you are advocating. And ask if they have a solution. If theirs does not work, explain why with facts and an open heart. When they realize they have no plan, they are more likely to support yours as humane.
If they don't want to deal with making things work, make them think about how they are dismissing the needs of those they don't know, berating 'special rights' for vulnerable groups while ignoring others whose privilege to have more is not considered.
You don't have to be negative, just ask how far are they willing to go to defend rights for all, being sure to put them in the group being defended. Many people have an innate sense of justice and believe in fair play, unless tainted and that can be appealed with the stories of real people and the impact of not living up to ideals.
That's been my experience. At times I have gone into things and I can scarely believe that I have to live on the same planet with some people. But I do. The thought of murder may flit across their mind and yours. If you are not talking to a faux or ditto head, it's easier. But at times if they are not having a tantrum, compassion for what they are aggrieved about goes a long way and can even pull them out of the fog and get something done.