Though Ancestry.com has some agreements to share resources with the Family History Department of the Church of Jesus Christ Latter-day Saints, it is a completely separate organization and a for profit company. It was founded by Mormons, many of the employees are Mormons, and lots of the customers are Mormons and driven by their religious interest; but it is distinct from the work you are discussing.

The efforts of the Church of Jesus Christ are all non-profit and publicly available at Family Search (http://familysearch.org).