standardize tag capitalization in back end?

I’m running into an issue here with “tag” & “Tag” or even “tAg” are all differnt tags as far as WP is concerned due to capitalization. I thought the easiest way to solve this was just apply some JS to the tag input like so:

$('#side-info-column input').css('text-transform', 'capitalize');

Which works, but the capitalization does not actually persist once the tag is added.