Man dies after being shot by Madison Police Department officer

Better headline: "Cop murders Madison man"

Or if you want to play it safe: "Cop shoots Madison man dead"

That way it doesn't assume the level of crime,but also doesn't imply that him dying was a separate and possibly coincidental event rather than the direct result of the cop shooting him.

Officers performed lifesaving measures on the man

This is where the story breaks down. Most of the time, they just stand around getting their stories straight.