Wind Powering American Jobs Act of 2012 - Amends the Internal Revenue Code to: (1) extend through 2013 the tax credit for the production of electricity from wind facilities and the energy tax credit for investment in wind facilities, and (2) limit the foreign tax credit and tax deferrals for amounts paid or accrued by a major integrated oil company that is a dual capacity taxpayer. Defines "dual capacity taxpayer" as a person who is subject to a levy of a foreign country or U.S. possession and receives (or will receive) directly or indirectly a specific economic benefit from such county or possession.