I'm glad to see that others agree on making the Push ability an Action rather than a Bonus Action.
It just seems too powerful, even cheesy, to be able to attack an enemy AND push him off the high ground. Basically doing two attacks with decent fall damage.
Extra cheese if you push powerful enemies off a cliff into the depths below, instantly killing them.
On the side, I have never failed a Push ability so far (with either Shadowheart or my custom Wizard). I don't know if there're any rolls going on or if it's an automatic success, but it seems way to easy.