"They will shred anything they get close too".
Yeah, with their whopping on the move only bonus accuracy of 10%
Good lord. Terminator 1000 in coh 2 !!!!!
To help your brain: is basically to make fussies close in and their kar98k to not miss too much.
First, you're only going to use "Push" while you're on the move anyway, so specifying that it's a move only bonus is meaningless. Secondly, with a 20% cooldown bonus, and a free yellow cover bonus (Which you can also just use if you're absolutely terrible and your Pfussilers get caught out somewhere in the open). You seem to be ignoring aspects of your own ability here. You can use this ability, get a large dps increase from stacking accuracy and cooldown (Good lord if you also throw G43's in there), and take little damage on approach because you have perpetual yellow cover (Which also is just poorly designed because it takes away any intelligent positioning aspects of infantry fights)
You just created a completely brainless ability that says "Press this and walk at the enemy for no repercussions to win fights for 30 seconds"
This would be the most broken infantry ability in the game with its combination of length and sheer power that it gives the unit.