Yeah write JavaScript to take care of it. The popdown is triggered by the hoverintent class. No out is defined but you kinda don't want to. Because the hover is for the tab control and not the actual drop down. Defining an out event depending on how you do it will cause it to close when u don't want to.
I defined an out with a delay that checks to see if the mouse is over the drop down. This cleans up accidental hovers. But really you need a new script to make any drop down close under whatever events u want them to. Been looking to do this haven't had the time myself.