According to the story I read, he didn’t let them in the house, and they didn’t push the issue because they didn’t have a warrant.
It also helped to have his lawyer on the speaker phone as a witness.
No warrant, no entry. End of discussion.
The cops didn’t push the issue, that is they didn’t force their way in. However the DYFS agent pushed the issue, threatened the family with taking their kids, and the cops knew that the family’s lawyer was on speakerphone and listening to every word being said. The fact that four LEOs came with the DYFS creep showed they intended an active visit.