On my Android 4.0.3 browser, the vote to close menu will no longer appear if a vote has already been given:
The site will focus on the close button and seems to try to load something, but no menu opens. If I haven't given my vote yet, it works just fine:
I noticed this on superuser.com
Additionally, I think it would be great if the number of votes other people have placed would be easier distinguishable from the rest of the text in that menu. Sadly, I don't have a screenshot for that.