Can we solve this problem with more taxes?

Um. NO.
You would have to confiscate every dollar from every person who earns $200,000 or more. Imagine what that would do for the economy? But in any event, what would you do next year? Because obviously, those people would not be working those jobs and making those investments anymore. Let's see, work at 7-11 for $30K or work at Goldman-Sachs for nuthin. No brainer.
Tax Foundation

IT'S NOT A TAX PROBLEM, IT'S A SPENDING PROBLEM!
Fix the spending problem first. Then use additional revenue to PAY DOWN THE DEBT!

Maybe we should have a tax revolt instead of a tea party. Reduce your withholding as much as you can without incurring a penalty. Send the IRS a notice that you are taking the additional amount you owe off of the nation's tab. Too bad we can't send money to the treasury earmarked for debt reduction (not deficit reduction, the debt we already owe). No, you can't keep it, you would have to put it in an escrow account. But hey, interest rates are going up so at least you will be earning some money for the government, right?

Why worry about the debt? Because we are paying interest on it. And the interest, if we keep spending like drunken sailors, will consume the entire annual federal revenue in just a few short years, not decades (somewhere between 2021 and 2041 depending on interest rates).

In 2010, we spent more in interest than we did on Health and Human Services (medicare/medicaid) More than Transportation, Veterans Affairs, Agriculture, Energy, HUD, Justice, DHS, Commerce, Labor, Small Business Admin, Treasury. Combined. In the last 20 years, we have spent $8 trillion just on interest - nice income for other countries.

If Congress stopped all spending today and paid $100 million per day, it would take 389 years to pay off the national debt. And that was in 2010, so it is closer to 500 years now.
Government Gone Wild