Wow! Even the Sheik of Uranya doesn't have so many in his harem. I would suggest he joins the Mint community.
But seriously, after I got rid of most of them, removing one at a time from right to left, as you suggested, my bottom panel is now clean. But damn it, I can't minimize anything to the panel any longer. When I click on the minimize sign of a window, poof!

it disappears; perhaps to another dimension! The fourth dimension?
EDIT
I found a way to get windows to minimize from the Ubuntu forums: Add to panel Windows List