American Energy Independence from Russia Act This bill addresses U.S. energy security, the production of oil and gas, and the importation and exportation of oil and gas. Specifically, the President must submit an energy security plan that (1) evaluates U.S. crude oil, petroleum products, and natural gas imports and exports; (2) assesses the energy security risks of such imports; and (3) includes strategies to encourage increased domestic production of crude oil, petroleum products, and natural gas to offset Russian imports. The bill also approves the TransCanada Keystone Pipeline in Phillips County, Montana for the import of oil from Canada to the United States. In addition, the bill grants the Federal Energy Regulatory Commission the authority to approve or deny applications for facilities to export natural gas from the United States to foreign countries or import natural gas from foreign countries. The President and federal agencies must obtain congressional approval before (1) prohibiting or substantially delaying certain new energy mineral leases or permits on federal lands, or (2) withdrawing certain federal lands from mineral and geothermal leasing activities. The Department of the Interior must resume issuing oil and gas leases on federal lands and offshore submerged lands in the Outer Continental Shelf as specified under the bill. Finally, the bill limits the drawdown of petroleum in the Strategic Petroleum Reserve until the Department of Energy develops a plan to increase the percentage of federal lands leased for oil and gas production.