As with just about everything you do, how you do it matters much more than simply doing it.
If simply using the words "Facebook strategy" constituted a legitimate Facebook strategy, then many of this site's visitors would be doing much better financially.
There are many ways that an article marketing strategy and a social strategy would both be effective, but if you are approaching the situation like you are required to pick 1 and only 1 way to market your site, then that is a very lazy approach and you will probably be very disappointed in the amount of search engine traffic your site receives.
If you want to have a successful site, you will need to write LOTS of content EVERY DAY, and you will need to promote it on SEVERAL PLATFORMS and your goal should be to make it generate a social buzz amongst the community (real people, not just robot followers). Try to actually give the users something they want instead of tricking Google.