The first two appellations make sense I suppose, but "stalker"? What kind of goofball wants to "stalk" God or Jesus? Are they aware of what actual stalkers do, which is harass and terrorize their target in increasingly desperate attempts to win them over? Are they planning on driving by God's house at 3:00 AM, to make sure no one else is over there? Maybe go down to Jesus' place of employment and get in His grille while His co-workers back away slowly and one of them tries to dial 911 without you seeing?
Seriously. There are plenty of names and methods one can devise to demonstrate their devotion and commitment to their spiritual beliefs. I think it says more than these people realize that they think "stalker" is the most accurate way of expressing that. It's not just the unhealthy connotation with the real-world definition of the word, but the clear indication that becoming an unquestioning automaton is some sort of spiritual goal.