Real weapons generally use Dex to hit and Str for damage, while armor would be damage reduction. If you want to go down this rabbit hole, you'll eventually end up with a combat system completely different (and much more complicated) than the one we have.Real bows require strength to pull and fire.
It would greatly decrease the value of Dex, which many would approve of. Str fighters would be able to use extra attack for ranged weapons, making them much more versatile in combat (Paladins, for example, would basically have no weakness).So how would it change D&D if we stopped allowing Dex for bows and mandated Str instead? Just keep Dex for finesse weapons.
You should also consider all other ranged weapons, and how they should be adjudicated. The sling logically would also require Str, since the amount of momentum you can create would determine the force of impact. Crossbows should remain completely Dex based, since Str really has nothing to do with the attack (arguably you would have variable Str crossbows that require that Str to draw, and use that modifier). Blowgun and Net also seem to primarily be Dex based.