A white supremacist who named his oldest son Adolf Hitler strolled into a New Jersey courthouse yesterday dressed in full Nazi regalia — to try to convince a judge to allow him visitation with his toddler, Heinrich.

“Prisoners get to see their children, murderers get to see their children. What’s so horrible about being a Nazi?” Heath Campbell, 40, told The Post after going to the Hunterdon County Family Court in Flemington in an effort to see his 2-year-old boy.

“I just want to be a dad. I just want to prove I’m a good father, because I am . . . So what if I’m a Nazi, who cares?’’

Campbell and his now-estranged wife, Deborah, had their four children taken away from them in 2010 amid charges of violence in their Holland Township home.

The Nazi-loving pair appeared on authorities’ radar after they publicly complained that a local ShopRite supermarket refused to write 7-year-old son Adolf Hitler’s name on a cake in 2008.

In addition to Adolf Hitler Campbell and Heinrich Hons Campbell, they have two daughters: JoyceLynn Aryan Nation Campbell, 6, and 5-year-old Honzlynn Jeannie Campbell.

All of the children were placed in foster care in one home. The two girls and Heinrich — named after Hitler’s right-hand man, Heinrich Himmler — remain there, while Adolf was moved to another after allegedly causing trouble.

The three oldest kids have since been adopted, and Campbell has been rebuffed by the courts in his efforts to see them.

Yesterday, he entered the courthouse in his visitation bid for Heinrich in a Third Reich uniform, black stormtrooper boots and a red-and-yellow swastika armband.

A large swastika tattoo was visible on his neck.

He was accompanied by a stern-looking woman wearing female Nazi garb, including a white shirt, red tie and swastika patch. She was identified as Bethanie White, a fellow member of the pro-Nazi Hitler’s Order group.

The pair walked away angry and disappointed after learning the hearing had been canceled, and headed for a group meeting in Easton, Pa.

Asked if his outfit might put off a judge, Campbell replied, “He can look within me, not on the outside. How about I judge him? I mean, he wears a dress.

“My son told the judge that’’ once, the dad boasted, “my little boy Hitler.

“You know what, I’m me,’’ Campbell added. “I’d rather be true and real and honest than be a coward and a liar.

“I’ve been to New York City and walked around in my uniforms, “ he added. “Nobody says anything. They say, ‘Hey, how are you doing?’

“I have a constitutional right to see my children,’’ added the dad, who said he is of German-Italian descent and whose birth name was Isidore.

It’s as if “because I’m a Nazi, I have no constitutional rights.’’