Though it wasn't the solution I originally sought, Atavi has proved to be the most practical solution for allowing me to keep a single bookmark collection that works effortlessly regardless of the browser I find myself using. I've found it renders well even on unsupported browsers like Puffin and Dol...
Unique implementation as a browser homepage
Full five-browser support
Stable browser extensions for Firefox, Chrome, and Opera
At the top of your Atavi bookmarks page on each browser tab is a search field, which can be set to pass your query to Google, Bing, Yahoo!, or Yandex. There's no need to lose the familiar new tab page search field when switching to keeping your bookmarks with Atavi.