Is it possible to filter responses based on the answers received. For example, question one of our survey asked for people to indicate their social profile, and we'd like to show the results of the remaining questions based on their social profile as indicated in question one. Is there any to do it via LimeSurvey rather than have to do it manually by exporting the results of every individual individually?

Yes, it is. You will just have to do the filtering in the response table. Once done, display as many responses as possible on the page and use the group-action export button: www.limesurvey.org/manual/Export_respons...a_group_of_responses .

The best way is to export all responses as CSV/Excel and analyse them in a software that is made for analysis (even if just in Excel).

Limesurvey has a statistics part, but it is rather basic when it comes to analysis. Never the less, you can filter the results in the statistics part based on certain responses to some of the questions.