A bow, with arrows and string doesn't weigh a whole lot less than say, an AR. My arrows are 32 inches long.. not compact in my opinion. And carrying more than say.. a dozen arrows is problamatic.
Pull the pins on your AR. Stick each half in an old jeans leg, add a couple loaded mags, stick in backpack. Small, compact, quicker to assemble, and a buttt load more firepower.
I shoot bows everyday. I have taken at least a dozen deer with one. Not for a moment would I try to use one as a weapon if I had anything more than a rock on hand.