But some conservative groups charge "identity politics."
"We have no problem [with a justice's sexual orientation] as long as they are not empathetic to any class," said Bruce Hausknecht, judicial analyst for Focus on the Family Action.
But, so far, those early judicial appointments "have all been hard left," he told ABCNews.com.
Peter Sprigg, senior fellow for policy studies at the pro-life Family Research Council, is also dismayed and worried that "empathy" in appointments means rewriting the Constitution.
Sprigg is also suspicious of Obama's opposition to same-sex marriage.
"I think he would rather not deal with this issue at this point in his presidency," he said. 'My personal opinion is that he supports [same-sex marriage] but doesn't think it's politically wise."
But Jon Davidson, legal director for the LGBT advocacy group LAMBDA Legal, is hopeful that Obama's views on gay marriage will eventually "evolve" and that he will embrace the gay movement as a civil rights issue.
Considering two lesbians for the highest court "is not exactly like breaking the ceiling," he told ABCNews.com. "It's more like entering the gate."
"I'm kind of impatient," Davidson said. "But at the same time, he has a lot on his plate. He has said it's important to be able to walk and chew gum at the same time, and we expect our politicians to be able to multitask. We would like to see more, but so far he's moving in the right direction."
"The fact that being gay or lesbian is no longer a disqualifying factor for being considered to being appointed to the highest court is dramatic progress."