Over recent years the current government has picked arguments with various institutions in order to distract the electorate from how badly the effects of their decisions were damaging the country.
Examples, just off the top of my head, include attacking the EU, the BBC - including Gary Lineker and whether Land of Hope and Glory should be sung at the last night of the Proms - threatening to privatise Channel 4, attacking the RNLI, asylum seekers, judges, ‘lefty’ lawyers and junior doctors while protecting statues. Gender neutral toilets/trans issues were just one of the issues where they tried to foment division and arguments to distract.
It sounds to me as if Starmer is saying a Labour government won’t do that. Which seems like a good thing.