New Jersey Gov. Chris Christie is has supported the move to raise the age to qualify for Medicare and it is part of a bold plan to reform entitlements that was released by him on Tuesday morning.

"Obamacare soaks up the people who would otherwise be displaced by raising the eligibility age for Medicare", said Avik Roy, a prominent Republican expert in health care policy who has argued that conservatives should use Obamacare to promote their own policies rather than repeal the law.

The proposal has been supported by various conservatives. Michael E. Chernew, professor of health care policy at Harvard Medical School said that generally, raising the eligibility age for Medicare will save money for the federal government as seniors with comparatively high incomes wouldn't be eligible for any other federal subsidies.

It has been estimated by a 2011 Kaiser Family Foundation study that raising the eligibility age for Medicare from 65 to 67 would help to save the federal government about $5.7 billion in the short term. But there is a possibility that it might cost 65- and 66-year-olds $3.7 billion in out-of-pocket expenses and employers $4.5 billion in retiree health-care costs.

According to Chernew, raising the Medicare age comes with other, more difficult consequences involving the type and quality of care available and also whether such policy would motivate older American people to remain in the workforce for longer. Another part of plan of Christie encourages American people to keep working past the age of 65 by reducing the payroll tax for workers 62 and older.

But the question is whether conservatives are interested to use the Affordable Care Act in order to make their own changes to the health care system or they wish to repeal the law and begin from scratch.