Energy Efficient Heating and Cooling Tax Credit Act - Amends the Internal Revenue Code to expand the tax credit for nonbusiness energy property expenditures to allow a credit for up to $5,000 in a taxable year of qualifying heating conversion expenditures for a principal residence. Defines "qualifying heating conversion expenditures" as expenditures, other than for soil cleanup, for property that is placed in service before January 1, 2019, and used as a heating or cooling system on a building or structure located in a community in which the average residential expenditure for home energy is more than 200% of the national average (as determined by the Energy Information Agency).