New York’s elite private-school community is “furious” over a state proposal to give the city Department of Education oversight of their kids’ curricula — and they’re fighting back, insiders told The Post.

The blanket Albany proposal is primarily intended to ensure that ­yeshiva students get quality secular instruction, but private-school parents are growing worried as September nears that the shift could open a back door for the government to meddle with their kids’ educations.

“These parents are furious, because who the hell is New York state to decide what a private institution can teach their children?” said Amanda Uhry, president of the Manhattan Private School Advisors firm.

“I don’t think parents want to send their kids to schools that are private and that they are paying $55,000 a year so the state can tell them what to do.”

The proposal, set to take effect in the fall, prompted a letter from the head of the Upper West Side Trinity School to parents, asking them to make their voices heard in Albany.

“By establishing this new process to determine ‘substantial equivalency’ [between public and private school educations] this proposal in effect transfers the oversight of our educational program from the school’s board of trustees to the local public school superintendent and the local board of education,” Head of School John Allman wrote in the letter, dated Thursday and obtained by The Post.

“If you wish to preserve Trinity’s commitment to excellence, contact the New York State Education Department and the Board of Regents immediately and let them know that you oppose this action and wish to preserve Trinity’s independence as guaranteed in the New York State constitution.”

The message included a copy of a suggested form letter that parents can print and send to officials at the state Education Department, Board of Regents and New York State Association of Independent Schools.

NYSAIS, a not-for-profit group comprising nearly 200 schools, accredits member institutions. The ­yeshivas the proposal targets are not accredited by NYSAIS.

“I understand New York State’s desire to regulate unaccredited schools, but this proposal reaches far beyond that stated goal,” the Trinity form letter reads. “NYSAIS-accredited schools already meet the requirements for substantial equivalency and should be exempt from the proposed regulations.”

A state Supreme Court justice in April blocked the Education Department’s proposed standards for private schools because officials failed to publish the changes and allow for public comment.

The proposal will now allow for public input until Sept. 2, at which time the final version will go before the Board of Regents for approval.