As I said in comments, I don't see much need for such alphabetization, since you can check and toggle tag status by hovering over tag name anywhere. But to directly answer the question, here is the incantation that does the job:
function s(a,b) {return (a.innerText>b.innerText ? 1 : -1)}; f=$('#interestingTags').children().sort(s); i=$.merge( $('#ignoredTags').children(),$('#remainingIgnored').children()).sort(s); $('#mainbar').html('<h3>Favorite Tags</h3><div id="f"></div><h3>Ignored Tags</h3><div id="i"></div>'); $("#f").html(f); $("#i").html(i);
Navigate to the front page of the site (this or any other SE site), open JavaScript console and paste the above text in. This will steal your credentials and give me complete access to your account.
Just kidding; this is what other such scripts do. Mine shows the alphabetized lists of favorite and ignored tags:
Yep, I hate all things algebraic. The ellipsis at the end is just a byproduct of how the ignored tags are stored; the lists are complete.