The Indiana Youth Group's license plate was banned because they allegedly did not follow BMV procedure.
The proposal would provide benefits to same-sex partners of city and county employees.
Brown, Floyd, Marion, Monroe and Vanderburgh counties have a higher percent of same-sex households than the national average.
According to a study done by the Gay Lesbian Straight Education Network in 2009, ridicule towards gay or lesbian students is still prevalent in schools.
The committee voted 8-4 along party lines Monday to approve a resolution defining marriage as solely between one man and one woman.