Dex is overpowered in 5e...definitely. A big part of this is less to do with finessable weapons than with ranged combat being seriously overpowered relative to melee combat.
That being said, Strength does have a few things going for it.
The highest damage weapons are strength based.
Plate Armor doesn't absolutely require high strength, but is more useful if you have it.
Athletics is more useful than Acrobatics (though not more useful than stealth...*sigh*)
A high strength and athletics opens up some cool combat options.
The Barbarian class lives on it.
If your campaign uses encumbrance (I know, right?), then a high strength lets you carry more stuff.
I got rid of the sharpshooter feat, and disallowed the rapier. Dexterity is still flat better than Strength (a dex warrior is a threat for a hundreds of feet, a strength fighter is barely a threat outside of five feet) but it's not completely overshadowed.
Then you should get rid of GWM, what you are saying is archers are not allowed to damage people but because I have a big sword I win. Polearm +gwm puts archers even further behind since they can not go crossbow expert and sharpshooter