Oh great plan. Sack both the coach and the assistant, with no viable option for a replacement. That will really go down well with the dressing room (especially since they have all said that they respect Greenie).
When was the last time you heard a team criticise the management in public? Just because they say that doesn't mean it's true.
Greenie was part of a tight-knit playing group that made the playoffs three seasons ago. I would be very, very surprised if the rest of the players don't respect him.