OK. Created Dwarf Barbarian:

Dorm
Str - 15
Dex - 15
Con - 17
Int - 8
Wis - 9
Cha - 8

First battle with imps. Solo'd. Picked imp every time. 3-4 damage every time I threw them. If I threw them into each other, usually 3-4 damage to each. I also picked up and threw into exploding nautiloid tanks which definitely did additional damage. Easy slaughtered all three alone.

On deck. Two imps. Threw them into one another. One died ahead of the other. Threw dead imp into living imp. Killed living imp.

Fought intellect devourer and three thralls. This was, admittedly, a tougher fight. Thralls were too heavy to throw. However, intellect devourer was not. First round, threw devourer into thrall, killed thrall one hit. Intellect devourer did 7 damage. I have 16 total at First Level. Used healing potion and threw devourer over the rail. Took half its health off when it fell to the lower deck. Shoved thrall 2 to railing. 2 rounds later, shoved thrall 2 completely off the nautiloid. Didn't shove him down to the lower deck. Shoved him TOTALLY off the nautiloid. In other words, from the upper platform, shoved from edge of railing beyond the woman saying "Bull got me," and beyond THAT railing off into Avernus. Next round, threw intellect devourer again over the railing to the lower deck. It took fall damage and died. Ran up to thrall 3, shoved her to railing, and yeeted her like thrall 2 off the nautiloid.

Next fight, intellect devourer in chamber with lots of pods beyond Shadowheart chamber. Threw him. Shoved him. Threw him again down into the lower area below the pods. Unfortunately, had no choice but to finish it by throwing a single hand axe. Not with disadvantage but 90% chance of success (this NOT with Rage or Reckless). In other words, throw and shove damaged it enough that I was able to kill it by throwing a hand axe. 8 damage from axe, 13 from throw/fall.

Deck fight. Killed both imps and hellsboar simply by throwing imps at one another and at the hellsboar. If an imp died, I still used it as a throwing weapon. (Hellsboars are too heavy to pick up.) Threw some at Zalk as well, dealing 3-8 points of damage each time with a fairly high success rate. With the mind flayer's help, killed Zalk by throwing things at him, smashing brine balls on the ceiling with living imp bodies, and then shoving him into the brine to finish him off. Unfortunately, cambions then surrounded me and killed me.

Reload. Decided to just kill imps and boars and ignore Zalk. This was a bit more of a challenge to do with just shove and push simply because the cambions enter the room after a few rounds and attack you. So, killed all but one hellsboar simply by throwing and shoving. Then I activated the transponder. End of prologue. The only time I used a weapon was because I had to in order to kill the devourer that I couldn't kill in any other way. I had to throw my axe at it or TB would never have ended. It just kept skipping the devourer's turn, not even trying to get out, because it couldn't.

All in all, I'd say this:

Shove/Throw is broken because of distance and throw is broken because of just how easy it is to do. It is far too easy to pick up creatures and throw them into hazards or into one another, thus negating the need for weapons and items at all. I had to use several potions, mind you, but that's because I was soloing against intellect devourers. Still. Too overpowered.

That said, overall, I like the mechanic, to be honest. It just needs to be tamed down. WAY tamed down.