Except that more than 90% of K-12 education costs are not paid by the federal government.
Saying "this program is more important than that program" misses the magnitude of the problem.
If you want to balance the budget by raising taxes, you have to raise income taxes by a factor of 2.6. Of course, you can make some people pay more so others can pay less, but the highest tax bracket would be 92%, so there's not much room to increase taxes on people making more than $350K.
If you want to balance the budget by cutting spending, you have to cut the entire discretionary budget, plus $300B. "Discretionary" includes most of what we think of as "the government" - the Army, embassies, the FBI, NASA, the national parks, etc. Even science spending. It all has to go, and it still won't be enough.
This is what the arithmetic says when you have $915B in income taxes, a $1.2T discretionary budget and a $1.5T deficit.