FLEMINGTON, N.J. — Ever since Marie Corfield’s confrontation with Gov. Chris Christie this fall over the state’s education cuts became a YouTube classic, she has received a stream of vituperative e-mails and Facebook postings.

“People I don’t even know are calling me horrible names,” said Ms. Corfield, an art teacher who had pleaded the case of struggling teachers. “The mantra is that the problem is the unions, the unions, the unions.”

Across the nation, a rising irritation with public employee unions is palpable, as a wounded economy has blown gaping holes in state, city and town budgets, and revealed that some public pension funds dangle perilously close to bankruptcy. In California, New York, Michigan and New Jersey, states where public unions wield much power and the culture historically tends to be pro-labor, even longtime liberal political leaders have demanded concessions — wage freezes, benefit cuts and tougher work rules.

It is an angry conversation. Union chiefs, who sometimes persuaded members to take pension sweeteners in lieu of raises, are loath to surrender ground. Taxpayers are split between those who want cuts and those who hope that rising tax receipts might bring easier choices.