I find it irritating to see a closed question on the questions page. It shouldn't be there, it spoils the smooth running of the site. It makes me want to... trample all over it. Perhaps a tag could be put on the question and it put at the bottom of the questions queue so that people can find closed questions if they want. Perhaps there's another more elegant solution?
Closures can be reversed (by a moderator or by 5 users with 3k+ reputation) and they do happen error, so it is proper that they should receive some attention.
I would support closed questions to be tagged as closed, so people can put them into their ignored tags. If the question is reopened, the tag can be removed.