I got an idea and I like it a lot. You may win a lot more place to show ships of the selected fleet if you would hide the command bar (bottom center) while a ship is selected. You could show ships all to the next action button. I imagine ship icons that get their size doubled including visible icons for ship upgrades and attack, def and hp values! This could be a great help (new upgrades, regroup fleets).
Btw - I took a quick glance at 0.65: Looks good! 