Chief among the complaints is the museum replacing the story of an Irish family who stayed at the building at 103 Orchard Street in the late 19th and early 20th centuries with that of a Black man - who worked near the building and remained in New Jersey for the most of his life.
When the museum opened in 1988, it was meant to re-make the immigrant experience of the more than 7,000 people who inhabited the 22 apartments in the five-story building throughout the 19th and 20th centuries.
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Throughout that period, the inhabitants mirrored the country's migration, starting with the influx of Irish, then German, then Jewish, and finally Italian immigrants. There is no historical evidence any Black people lived in the cramped quarters of the building during that time.
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Although the museum has chosen to set up one apartment in the tenement museum to recreate how a Black man named Joseph Moore, and his wife, Rachel, lived back then and is revising all of its apartment tours to study how race and racism developed the opportunities of White immigrants.
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"Basically, we're taking apart everything and putting it back together again," Annie Polland, the museum president, told the New York Times.
"Ideas about race were important for understanding every family's experience, at every moment in time, in New York and on the Lower East Side."
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Critics say the inclusion of the Joseph Moore story is just the latest in the museum's "woke" agenda.
In 2017, the museum opened a second building up the block, which enabled educators to include the stories of a Chinese immigrant family and a Puerto Rican family.
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Last spring, the museum added the Reclaiming Black Spaces walking tour, visiting important Lower East Side Black historical sites, WBUR reports.
And after the police-involved killing of George Floyd last year, many of the museum's staff members demonstrated for what they saw as the museum's insufficient statement in aid of Black Lives Matter, the Times reports.
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Peter van Buren, a former museum educator, insisted that the cultural center switched its focus after the election of Donald Trump in 2016 in a column for Conservative news outlet Spectator World,
Before that, he wrote, "Rule one for educators like me was 'keep it in the room,' meaning focus on specific individuals and how they lived in the room where you were standing."
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