Appearing on Fox News Sunday, Senate Minority Leader Mitch McConnell, R-Ky., said a top GOP priority will be to repeal President Obama's health care overhaul.

But McConnell faced tough questions about what would replace the law.

When asked by Fox News' Chris Wallace what specifically are Republican lawmakers going to do to provide universal coverage to the uninsured, McConnell replied: “That is not the issue.”

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McConnell did say the GOP would take a step-by-step approach to deal with cost, tort reform and bring more competition to the system, adding the government needs to clean up Medicare and Medicaid first.

“Let me tell you what we're not going to do. We're not going to turn the American health care system into a Western European system. That's exactly what is at the heart of Obamacare,” he said. “The federal government can't handle the health care it's already got. We need to clean up the health care the federal government is already responsible for before we start immodestly trying to take over all of American health care. That's a big step in the wrong direction.”