Gay GOP group Log Cabin Republicans on Tuesday announced a “qualified” endorsement of Mitt Romney for president.

“The qualified nature of this endorsement means that Log Cabin Republicans will be most active in our support for House and Senate candidates,” the group said in a statement. “While many of our members will also be working hard on behalf of Governor Romney, growing the pro-equality Republican presence in the House and Senate is our highest electoral priority this year.”

The group's executive director, R. Clarke Cooper, explained that as Republicans they agree with “Romney's vision for America in which success is a virtue, equal opportunity is ensured, and leaders recognize that it is the American people, not government, that build our nation and fuel its prosperity.”

Stonewall Democrats, a group of gay Democrats, called the endorsement “madness,” criticizing the move in an e-mail to supporters.

“With this endorsement of Mitt Romney today, the Log Cabin Republicans have proven once and for all that they are not an organization aligned with the LGBT movement,” said Jerame Davis, the group's executive director. “They are a Republican front group bumbling their way into fooling LGBT voters that it's OK to support a party that would legislate us back into the closet.”

Calling the endorsement “shameful,” he added: “Mitt Romney stands for nothing positive for LGBT people. He supports a federal marriage amendment (which was a reason for Log Cabin to refuse to endorse George W. Bush in 2004). He supports McCarthy-like investigations into our community for evidence of 'harassment of Christians.' He opposes the repeal of DOMA. He opposes ENDA. He's even said things as basic as the right to visit your sick or dying loved one in the hospital is a 'privilege' and not a right.”

(Related: Mitt Romney retracts disavowing support for federal gay marriage ban.)