The entire minimap area needs a total redesign imho. Too many small buttons all surrounding the map, and then a bunch of other functions tucked into a "dropdown", hidden from plain sight.
Instead of having 2 buttons (PVE Queue and PVP Queue), one solution might be to combine BOTH, and allow players to select either PVE or PVP queue in a popup? When Champions Online went F2P, it got a total UI overhaul along with it. STO has only had minor "touch ups" since going F2P. Minimap overhauling is just the tip of the ice berg.