For many of the components, it's easy enough to do the necessary styling via your own controls (tabs in particular) as opposed to trying to map the jquery + bootstrap.js... if you can avoid their JS, you can save some overhead. ymmv.

If you're going with React, you might want to look at material-ui[1] with a normalize css include and a basic (manual) flexbox layout to begin with. The components offered are really complete for a UI framework, and depending on your needs, working from dev branch may be a good option.

[1] http://www.material-ui.com/