Yes just use the canonical tag on the index.php file to reference the page as the domain, that'll be the easiest way.

Using an actual redirect could cause you to spiral into a loop

To influence it what you need is a term, short-tailed or long-tailed it does not matter, that has at least some CTR.  It doesn't need to be large, 10 a month is more than enough. Then, with this CTR in place, the auto-suggest is influenced by sheer search volumes.  If you track your it you'll see that it takes about between a day and two days for the searches to filter through to auto-suggest. It's pretty much in-line with Insights.

If a keyword has a good history then its more likely to stay in the auto-suggest even if another term trends in the shor-term.  To influence it use social media to get people to search or run competitions etc to suggest people to search.
Pure search volume without CTR will not work. You could fire 10 million searches a day for two weeks it won't appear if there is no CTR.

Ranking above Wikipedia is the same as ranking about any other site.  You just need to be relevant with strong links and social social signals.  I have sites that rank above wikipedia on several topics because the sites are more relevant than the one Wikipedia page, but it really depends on the subject matter as to how easy it is.  But, once again, just treat it like any other site.

Do Google actually still penalised Overflow:Hidden and Display:none though still, or just off screen placement such as left:-9999px?  If they do its something that I'm sure will be changed as its commonly used for "div switching" through navigational menu's and tabs (for display:none at least).

RSS should be designed primarily for your users and secondly to syndicate out using RSS Aggregators to distribute parts of your content (headlines and URLS)

Be careful about how much of the article content you include within the RSS Feed themselves.  Whilst is it good for the user to include the full article within the feed by doing so you are also giving scrapers an an easy time to reproduce your content and thus might end up being penalising for duplicate content even though you are the original source (I've seen this happen).

I've used two techniques in the past the first was to publish a short additional body that contain a call to action to follow the link to the original article stub.  I then switched to publishing the full content within the feed just for my users but I am thinking about going changing it again and publishing part of the content within the feed and then have a call to action for the reader to visit my site for the full article which will hopefully increase CTR on the feed whilst reducing the content duplication issue

To influence it what you need is a term, short-tailed or long-tailed it does not matter, that has at least some CTR.  It doesn't need to be large, 10 a month is more than enough. Then, with this CTR in place, the auto-suggest is influenced by sheer search volumes.  If you track your it you'll see that it takes about between a day and two days for the searches to filter through to auto-suggest. It's pretty much in-line with Insights.

If a keyword has a good history then its more likely to stay in the auto-suggest even if another term trends in the shor-term.  To influence it use social media to get people to search or run competitions etc to suggest people to search.
Pure search volume without CTR will not work. You could fire 10 million searches a day for two weeks it won't appear if there is no CTR.

Ranking above Wikipedia is the same as ranking about any other site.  You just need to be relevant with strong links and social social signals.  I have sites that rank above wikipedia on several topics because the sites are more relevant than the one Wikipedia page, but it really depends on the subject matter as to how easy it is.  But, once again, just treat it like any other site.