<p>I was thinking some such sorting method could even be invisible or implemented via user-localized, potentially customizable scripts. I'm out of my league on the programming side here, so I don't know how complex or dangerous (e.g., exploitable) an implementation of these ideas would be, but FWIW:</p>

<ol>
<li>Links to data feeds could be provided on meta-site posts.

<ul>
<li>This would preclude necessitating a main site UI overhaul.</li>
<li>Would facilitate limited testing – could even proceed by email invite in early stages.</li>
</ul></li>
<li>Downloadable computer scripts could generate organized hyperlinks in a separate program dedicated to displaying the proposed list sorting structure.

<ul>
<li>This could connect to the aforementioned data feed, which could be raw to cut down on UI development work.</li>
<li>I'm not sure how SE feels about web crawler bots, but this could produce some objections.</li>
</ul></li>
<li>SE as a whole could set up thresholds or more continuous weighting systems for votes by rep.

<ul>
<li>E.g., sort by votes received from users with above-average rep score, or weight by score.</li>
<li>Users could customize their own thresholds / weighting schemes, ideally.

<ul>
<li>To preserve anonymity, SE could restrict modifications to rough, e.g., decile increments</li>
</ul></li>
</ul></li>
<li>Alternatives to weighting by rep could be considered, such as possession of badges like:

<ul>
<li><a href="http://kevinx.net/labs/php/badge.php?txt=Nice%20answer&amp;c=c" rel="nofollow noreferrer">http://kevinx.net/labs/php/badge.php?txt=Nice%20answer&amp;c=c</a> for 10 upvotes on an answer; one awarded per $10\times$upvoted answer.</li>
<li><a href="http://kevinx.net/labs/php/badge.php?txt=Enlightened&amp;c=s" rel="nofollow noreferrer">http://kevinx.net/labs/php/badge.php?txt=Enlightened&amp;c=s</a> for posting the first answer, then getting it accepted and upvoted $\times10$.</li>
<li><a href="http://kevinx.net/labs/php/badge.php?txt=Mortarboard&amp;c=c" rel="nofollow noreferrer">http://kevinx.net/labs/php/badge.php?txt=Mortarboard&amp;c=c</a> for earning 200 rep in a single day.</li>
<li><a href="http://kevinx.net/labs/php/badge.php?txt=Necromancer&amp;c=s" rel="nofollow noreferrer">http://kevinx.net/labs/php/badge.php?txt=Necromancer&amp;c=s</a> for earning five upvotes on an answer that's $\ge60$ days late.</li>
<li>These are just the badges that I've gotten so far and found karmically meaningful. I've only been around for four months though, so I'm not sure if we'd want to set the bar higher...but at least these I've found these attainable enough that plenty of people have likely earned them, so no one's anonymity would be in jeopardy if only one such badge could be used at a time.

<ul>
<li>Side effects on activity geared toward earning such badges might be affected if this question-sorting method was publicly visible and popular, but my idea #1 could suppress such effects by reducing visibility and making functionality easy to turn off if problematic.</li>
</ul></li>
<li>Kudos to <a href="http://stackexchange.com/users/31/kevin?tab=accounts">Kevin</a> of <a href="http://kevinx.net/" rel="nofollow noreferrer">kevinx.net</a> and <a href="http://stackexchange.com/users/61460/martin-clayton">Martin Clayton</a> for mentioning <a href="http://kevinx.net/labs/php/badge.php?txt=B%20Question&amp;c=g" rel="nofollow noreferrer">kevinx.net's badge generator</a> in a comment on the Meta SO question, "<a href="https://meta.stackexchange.com/q/100306/246931">Add badges to Markdown?</a>"</li>
</ul></li>
</ol>
