I might be in favor of the compromise that the debt ceiling can be raised once more (to, say, 16T or so), given that it comes with a provision that there is a "yearly" debt ceiling tied to GDP and a plan to start paying down the debt. Funding issues get taken care of now, and not kicked down the road.
For instance, if the President's Budget for 2013 had projected revenues of 2.5T, it would be limited to having a budget of 2.5T + a percentage (2.5% for the first 5 years, 1% after that?) of GDP. This would give an extra 350B or so in the first 5 years to wean off of the debts, and then have some wiggle room after 2018. If you wanted to start a war that had an extra 100B a year outlay, you could fit that into the excess for the budget, or make cuts/raise taxes that year.
And something needs to be fixed about Medicare/Medicaid right the heck now. I don't care how many AARP members lobby to their congressmen. Having an overrun the size of the one we have now (and only getting worse) is fiscally ridiculous. Either people start paying more for it, or it goes away.