Will they raise the rates if that means completely fubaring the US Federal budget? I don't think you have a grasp of the problem we are talking about. The Fed will be in a serious pickle when it comes time to raise rates but even if they don't that doesn't mean bond prices will positively stay as low as they are.
We are talking about very easily seeing 1/3, or more, of the Federal revenue being spent on interest alone in the next few years. That would mean that all the money the Federal government takes in will NOT even cover its "mandatory" expenses.
A statistic from Johnston (see my sig) in the link is that almost half of all income tax *now* is used to pay interest on the debt.
Among other things, that means those who are wealthy enough to be lending the government are being enriched by a *huge* amount of everyone else's wealth.
Forget for a second that it's 'debt' and 'interest', and just note, half of what everyone pays in income tax is going to lenders. What does that do to wealth in society?
This is a map for plutocracy, how to impoverish most Americans, just as it has impoverished many third-world countries.
Look at countries who are pressured to take on excessive debt - perhaps with plenty of 'incentives' for those in power to do so - and then as the country is unable to build infrastructure, to pay for schools or public health or infrastructure or a safety net, some paying 80%+ of their budget on foreign debt, all they can do is work cheap for foreigners.
The US isn't following exactly that situation, but it is doing far worse for the people that it would without this crazy situation.
Now, that's not about the short-term debt we need to fix the economy, rather about bad policies that enrich the rich with money we can't afford.