What is the most logical next event?

How to stop people from trying to convert you to another religion
Change the subject.
If this is the first time your loved one has tried to explain to you why your beliefs are wrong and theirs are right, try changing the subject as gracefully as you can. If they are perceptive, they will realize that you aren't interested in this kind of conversation with them.
For example, you could say, " that's really interesting grandma. I need to go see if mom needs any help in the kitchen.