You can hide it in the Filelisting as well as on the Player. It can't be done on the popup, but you can use Hotkeys or if your keyboard has media keys those to quickly pause/play/skip MediaMonkey.

All of the music that I listen to on my computer I like, so why should I want to rate it or see its rating? It's entirely irrelevant (at least for me), yet it's permanently displayed in most of the music and playlist pages, and buttons to change the rating are also shown on the popup when you hover over the icon on the taskbar, which can be a bit inconvenient when you just want to quickly pause the music or skip a track, but you have six small buttons to choose from rather than three or four.