The article, which is no longer available online, quickly drew criticism on social media for its lack of gender diversity.
The couple belongs to the Abayudaya community, which the State of Israel does not recognize as a part of the Jewish religion.
Malkin has been a vocal supporter of Holocaust denier Nick Fuentes, prompting the Young America's Foundation to distance itself from her.
Eisen, who has served for 12 years, will remain on the faculty of the Conservative movement’s seminary.
A native of Syracuse, New York, Hammer received his rabbinic ordination and doctorate in theology from the Jewish Theological Seminary and a PhD from the School of Speech of Northwestern University.
Rabbi Steven Wernick stepped down at the end of last year as CEO, and the organization has yet to name his successor.
How Gantz could still have a hope of replacing Bibi
"We call on you to condemn, unequivocally and in the strongest terms, the verbal assaults and death threats unleashed on the leader of our Israeli Movement."
Currently, the state does not recognize the Reform and Masorti (Conservative) movements for the purposes of their religious ceremonies.