A two-year moratorium would not just delay but kill a proposed constitutional amendment to ban gay marriage.
Lawmakers suggested more bipartisanship might be possible in 2011, too, before the session became bogged down in a partisan debate which ended in a walkout.
Leaders preach bipartisanship as Indiana faces legislative challenges.
Representative Tim Brown (R-Crawfordsville), who was chosen to lead the House Ways and Means Committee, is also a doctor.
Republicans won 69 seats in Indiana's House of Representatives during this week's election.
State GOP leaders say they want to focus on fiscal issues, job creation and education in the 2013 legislative session.
Some parents have alleged the Department of Child Services has not provided enough preventative services to mentally challenged children.
The General Assembly passes controversial bills on topics ranging from Right to Work to human trafficking.
Bill passes 28-22 and now awaits Governor Daniels' signature.
House Speaker Brian Bosma and Democratic Leader Pat Bauer met Thursday on disputes over right to work.