Ah unfortunately that doesn't work because those buttons are displayed dynamically on gallery category pages. Your solution works on those pages but when you are on other pages the text widget shows up with its title and no content. Even using the Widget Context plug in does not help because it cannot differentiate between a category page and a 'gallery category' page and I have way too many 'gallery category' pages to be able to link them all individually.
However in case anyone else needs a solution to this I was able to acheive the desired result and move the 'Display Buttons' to under the widgettitle h3 by adjusting the custom.js file.
I changed line 174:
linkContainer.prependTo('.sidebar .box ul:first').slideDown();