A solid majority said creating jobs should be the highest priority for the government now and that payroll taxes should be cut to help with that. A whopping 8 in 10 think building bridges, roads and schools is important, which means — gasp — spending money.

Many Democrats are so gun shy that they don’t dare even to talk about raising taxes on the rich. But 71 percent of those polled said any plan to reduce the budget deficit should include both spending cuts and tax increases. And Americans understand that there are choices to be made; 56 percent said the wealthier should pay higher taxes to reduce the federal deficit.

It bears repeating that this is all entirely rational, and what the Republicans and some Democrats are proposing is absurd. The country has tried reckless deregulation and overly deep tax and spending cuts before. It brought more than one recession in the last century; caused the near collapse of the financial system and another recession in this one; and helped pile up the current deficit.

Mr. Obama has been making many of those points for months. But he has been doing it with speeches that, while eloquent, are often too long and nuanced, and then lack the kind of relentless repetition that is needed to drown out catchy but false Republican talking points.

He has wasted far too much time trying to puzzle out how he can shave policies down far enough to get the Republicans to cooperate. The answer has long been clear: He can’t. Since he was elected, the Republicans have openly said they would not work with him, and a year ago, Senator Mitch McConnell, the minority leader, said explicitly that the Republicans’ goal was simply to deny Mr. Obama a second term. The new Times poll showed that Americans do not believe bipartisanship is achievable. Six in 10 Democrats want the president to challenge Republicans more. He should not worry about voters thinking he is being mean. What he should worry about is that he is not showing them that he is fighting all out for their interests.