Modernizr is made to test browser functionality not arbitrarily toggle classes based on user interactions. (Just because a user has interacted with your page does not mean the browser is all of a sudden incapable of "mousing"). You are better off not adding this as a Modernizr test and simply adding/remove classnames when you need to.
However, to answer your question, you would need to delete the cached value of mousing on Modernizr
and re-run the test while additionally manually removing any matching classnames on the html element. Something like:
Modernizr.addTest('mousing',function(){
return true;
});
/* ... */
delete Modernizr.mousing;
Modernizr.addTest('mousing',function(){
document.html.className = document.html.className.replace(/\b(no-)?mousing\b/g, '');
return false;
});