I'd be curious to hear your reasoning on this one.
To be clear, I'm also completely fine with making Shove a full attack action for everyone.
My reasoning for that suggestion is because it's a compromise between Larian's concern about Fighters feeling like there's not much to do in the early game, and the actual 5e rules.
I'm also not against leaving the current shove distance in if you succeed, because those who say shoving people is cool and fun are not wrong. Other tweaks based on size difference, or the amount you win the contested roll by influencing the distance you travel are also fine by me.
I just don't think it should be a bonus for everyone, which rarely fails, and it has to be a contested roll.