Could The Star and the National Enquirer become corporate cousins?

The bankruptcy of The McClatchy Co. could give ownership of The Kansas City Star’s parent to the owner of American Media LLC, the parent company of tabloid National Enquirer. McClatchy’s voluntary chapter 11 bankruptcy reorganization filed Thursday seeks to sell the company to Chatham Asset Management LLC, a private investment firm based in Chatham, N.J. The Sacramento Bee reported that Chatham “would operate McClatchy as a privately held company.” Sacramento-based McClatchy (AMEX: MNI)…