By demand I've remade the scrolling mechanism of the standard Favorite bar to use the standard OS scrollbars.
The code (HTML)for describing how the menu looks is exactly the same. You don't even need to remove the scroll button divs (but you could). What was needed to do was to change the function fixScroll() that handled the display and position of the scroll buttons. Now it only needs to check if there should be scrollbars visible. (You could just set the overflow to auto but then there would be a blank right margin when the toolbars are hidden).
To use this you need to switch to fav2normalscroll.js. Below is a sample of this: