I don't believe that any of the existing Author-date styles use ibid. Is there a style that you want to use that does?

Chicago recommends against ibid. in its Author-Date style:

"A. Chicago considers an in-text parenthetical author-date citation to already be in a short form and therefore discourages “ibid.” as a substitute. If you must use “ibid.,” just be careful that no intervening sources creep into the text. It does mean “in the same place [as the last item cited],” but it requires that the reader see or recall the last source, an inconvenience we feel outweighs the minor space gain."

http://www.chicagomanualofstyle.org/CMS_FAQ/Documentation/Documentation92.html

Ibid helps in case you are over the word-limit and cite books with two authors with long names:) or if you discuss some author´s ideas. But thanks for answers anyway.