Asked and answered, you say? Initiate deadly force armed men and find yourself stopped as rapidly and decisely as can be accomplished? Clearly, you're not as clever as the commenter who proposed:
"..why do they have to kill them??? They have rubber bullets, tear gas and pepper spray...Why are the killing all these people ?? Shoot their arms or knees and disable them...Lets stop the killing !!!!!"--Because we all know, when someone is throwing a small ax at you, there's all kinds of time to decide how to react; and a spinning, heavy, sharp object isn't a real threat, right? Not like a gun!
About that: even if the deputies were wearing the kind of pistol-rated body armor police sometimes wear, it's vulnerable to edged weapons -- all the more if the weapon is applied with force; and the armor doesn't protect the wearers hear or limbs. In armor, they'd've been safer if he was shooting a .45 at them.
Is this a tragic story? Yes. But (at least as reported) the blame for the hatchet-throwers death rests squarely with him. Real life isn't a TV drama; it's people very like you, in high-stress situations with no time to ponder. Don't want to be shot by Officers Of The Law? Then don't throw sharp weapons at them.
*Also a senseless headline: SW Indiana sheriff: Deputies kill man with hatchet. Um, Mr. Headline writer? Sir? Pleeeeeeeeeze stop that! Also, this.