Investing in U.S. Territories, Not Corporations Act of 2011 - Amends the Internal Revenue Code, with respect to shipments of rum to the United States from Puerto Rico and the Virgin Islands, to: (1) limit during a two-year period the amount of direct and indirect government assistance by the governments of Puerto Rico and the Virgin Islands to rum producers from rum excise taxes covered-over into the treasuries of such governments to 15% of the amounts covered-over, (2) impose limitations on the allocation of rum excise taxes between Puerto Rico and the Virgin Islands, and (3) deny any payment of rum excise taxes covered over into the treasuries of Puerto Rico and the Virgin Islands for rum redistilled into cane neutral spirits after being brought into the United States.