Build a link campaign

I have a newly created site that should have all the proper keywords in place. I have had a link campaign started but I feel as though I am not getting results. I would like to increase my site's ranking on the organic search engines. One site that constantly comes up in the organic results is [login to view URL] I have done a backlink search and it showed all the sites that are currently linking to them. This may be a good way to start, but you may have a better way. Please explain how you will get my site to show up in the organic search listing on google. Thanks,