To be honest, I'm a bit confused by all this.
It seems obvious to me that people have only a small set of questions they're interested in. Ever.
That is, if I'm a .NET developer, I'll never be interested in questions about COBOL, or Ada, or Objective C.
Would seem obvious to me to show only the type of questions you're interested in by default, and show only the others if you specifically choose it.
I find it very difficult to find questions I want to try to help answer. Most of the unanswered questions that come I have no knowledge of, nor interest in, and I don't want to have to wade through pages to find stuff that might be relevant.
Actually, going further, would be nice if one could groups tags, and have a little set of group-tags, and be able to click on them- then one could see all questions about [google-analytics] and [seo] or something, as tags tend to be related for you, but not necessarily in the way that StackExchange assumes.