"He is God not of the dead, but of the living."
There are so many places in the gospels that find religious leaders asking Jesus controversial questions to see how he will answer them. They usually go like this: "Some people say this one thing, but other people say this other thing. Which of these two things do you say?"
In these stories, Jesus always avoids a simple answer like "The first way is correct" or "The people who say the second thing are right." Instead, he always gives a nuanced answer that questions the assumptions of everyone involved in the debate.
In these stories, he seems to be trying to get people out of their "I'm right and they're wrong" mindsets and to get them to think about the more important issues. I think that's a big part of what it means to serve the God of the living. It means not being obsessed with which statements about heavenly things are absolutely correct. It means thinking of the bigger picture rather than our petty disputes. God is the God of the living, the God of the compassionate, the God of the peacemakers. Jesus seems to want us to pursue right living rather than right answers.