You are misplacing the disruption on the nuclear family, when it is actually saying to disrupt the requirement on nuclear families.
This refers to ways our society benefits 2-parent households and makes things harder for single parents. They suggest addressing this by providing more support and community for each other, not by tearing down nuclear families.
As an analogy, installing wheelchair ramps doesn't prevent people from climbing stairs, it just makes building more accessible.
It isn't society making it easier for two parents to raise a child vs one parent. It's having double the number of people raising that child.
I see no way to read that as BLM supports the nuclear family. So the largest social justice movement in the US doesn't support two parent families. That seems pretty significant
This refers to ways our society benefits 2-parent households and makes things harder for single parents. They suggest addressing this by providing more support and community for each other, not by tearing down nuclear families.
As an analogy, installing wheelchair ramps doesn't prevent people from climbing stairs, it just makes building more accessible.