Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnell'Justice for J6' rally puts GOP in awkward spot Republicans keep distance from 'Justice for J6' rally House to act on debt ceiling next week MORE (R-Ky) said there's little lawmakers can do to overturn a Supreme Court ruling allowing same-sex marriages in every state, suggesting any further action will rest largely with the courts. 
"I don't think so. I think the courts have pretty well spoken. We'll be taking a look at whether or not religious liberty needs to be enhanced by statue," the Republican leader told WDRB, a local Kentucky TV station, on Tuesday evening, when asked if there was anything Congress could do to reverse the court's decision.
McConnell added, "What I worry about at this point is the potential problems with regard to religious liberty. … There's a possibility of legislation, but I think most of this is going to be in the courts."
His comments come in the wake of the Supreme Court's ruling that legalized same-sex marriage in all 50 states. 
McConnell's Republican colleagues quickly vowed to try to protect religious freedom in light of last week's decision. 
Sen. Mike LeeMichael (Mike) Shumway LeeEconomy adds just 235K jobs in August as delta hammers growth Lawmakers flooded with calls for help on Afghanistan exit Afghanistan fiasco proves we didn't leave soon enough MORE (R-Utah) vowed to get his legislation, the First Amendment Defense Act, passed. The Utah Republican said the bill would "prevent the federal government from discriminating against anyone who believes that marriage is a union between one man and one woman."  
But McConnell shot down his effort, saying it wouldn't make it through Congress.
"It isn't going to pass. It's one thing to talk about a constitutional amendment," he said. "We've only done that 27 times in the history of our country. It's not going to pass." 
McConnell and Cruz were part of a group of six senators who signed on to an amicus brief calling on the court to protect state bans on same-sex marriage. 
"I've always felt that marriage was between one man and one woman," he said Tuesday night. "The Supreme Court has held otherwise, that's the law of the land."