Lot's of insensitive posters in this thread... Pity.
I'm sure someone will create a mod for it, OP. They did for Oblivion for this very reason.
So, yeah, guys, stop being jerks about something you clearly do not understand. Arachnophobia can be and often is a very deep-rooted and powerful fear that can cause extreme panic and anxiety attacks. Don't be insensitive.
NO Never. I'm one of the biggest Arachnophobes I know, and yet I think its stupid to even think of removing the spiders. And I think you are being selfish.
I've said this once before, but you wouldn't remove the genitals from The Statue of David, would you? NO, because its offensive to the Artist and the Art.
So, by this I mean its Offensive to the Developers and the game if you removed them.
Edit: I just clicked some of those links and I think I might barf.
He's not suggesting that they remove spiders from the entire game for everyone, thats stupid. He's requesting that they create an optional patch that removes spiders due to his obviously more severe case of arachnophobia.