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(NBC NEWS) - A new poll shows what measures Americans would, and wouldn't, support to reach a fiscal cliff agreement.

The Quinnipiac survey reports that 65 percent of Americans support higher taxes on those making more than $250,000 a year. Sixty-seven percent of Americans oppose eliminating the home mortgage interest deduction.

But 62 percent favor limiting the deduction to the first half-million dollars of mortgage debt, and a majority - 56 percent - support elimination the deduction for second homes. Forty-seven percent also support raising capital gains taxes.

But just over half of Americans oppose (51-44 percent) gradually raising the Medicare eligibility age, and 55 percent oppose cuts in military spending.

So what do Americans say is the best way to cut the deficit? Sixty-six percent say the best way is a combination of tax increases and spending.

Quinnipiac University surveyed 1,949 registered voters nationwide from November 28 to December 4. The margin of error is plus-minus 2.2 percentage points.