Changing shove to action will help little with balance, i never use it and the game is still unbalance.
Ai is too stupid to use it effectively if you know how to play. So i don't really care about it much. I get the idea behind the fix but wont help at all in my opinion. Biggest problem i have with jump is that you can stand still and do a standing jump.
There should be a jump runin range, so effects like web and others do not get bypassed so easily. How long of a run would depend on your acrobatics skill.
Ofc it will help balancing. Here just a few more examples than you can already get out of the post above.
Show me the difference between a punch and a shove (apart from the fact that you usually shove with both hands). Punch costs an action, shove a bonus action.
Take a spell like thunderwave. Yes it can hit multiple enemies but it still loses a lot of value compared to a full melee weapon attack plus additional shove.
When a character shoves, he puts his weapon away, shoves, and takes it back out? eh.... (switching between melee and ranged weapons without spending an action is already strange, have to read up on that. asfaik you even get AC from your shield when switching, or do i err there?)
compare throw and shove. why would i throw? apart from the fact that, especially as a Berserker, what you can throw and how far is totally off. Shove is way more effective.
Back to the jumping. Enemies jump a lot less then before the last patch but they still clear a lot of surfaces that are meant to hinder or dmg. Also, it should be possible to move through the space occupied by an ally. Atm we have to jump to pass...you dont just jump over a person, high STR or no.
