Because having a gun will help them out of poverty and mental health issues.

Adam Gabbatt, writing for The Guardian:

Brian Ellison, who is running against Democratic incumbent Debbie Stabenow, says homeless people are “constantly victims of violent crime” and providing them with firearms would provide a deterrent.

Ellison, a Libertarian who is expected to be the party’s candidate in the November midterm election, said he had settled on pump-action shotguns for practicality purposes.

“Frankly I think the ideal weapon would be a pistol,” he told the Guardian, “but due to the licensing requirements in the state we’re going to have a hard enough time getting homeless people shotguns as it is.