This is what I see when I go to Programmers (yellow highlight by me).
All questions except two on the first "page" are closed. I can of course scroll down to see lots of questions that aren't closed but I think it gives a bad first impression.
It looks like this was mostly caused by Anna Lear ♦ cleaning up the tags (e.g. removing sparetime and self-teaching) on some old questions, which automatically get bumped to the front page. I agree that it gives a bad first impression, but bumping edited questions to the front page is definitely by design.
Closing isn't a dead end. Closed questions can be reopened. Therefore there shouldn't be a blanket ban on closed questions appearing on the home page.
If you think there's a salvageable post in there edit it and vote to reopen (if you have the necessary reputation). If you don't have the reputation, suggest an edit and flag the post for moderator to review.
As to the specifics of this case, edit floods are to be avoided but are sometimes unavoidable. The normal activity on a reasonably active site will soon replace these questions with (hopefully) better ones. On Stack Overflow you wouldn't notice an edit flood as the home page changes so often.
There have been calls for mods to be able to edit posts with out bumping them (this is what CHAOS could do briefly) but these have always been rejected. The only thing we can do within the current rules is to try and space out edits to minimise their effect. However, if (as in this case) there's a tag that needs replacing by other, more appropriate flags there's not a lot else we can do.