Final answer:
The argument presented in the quotation is that the white men will face challenges due to discussions about rights between the negroes of the South and the women at the North.
Step-by-step explanation:
The argument presented in this quotation is that the white men will face a difficult situation ('be in a fix') due to the conversations about rights happening between the negroes of the South and the women at the North. The speaker suggests that these discussions will put the white men in a tight spot or dilemma. The quotation implies that the dynamics between different groups seeking rights will create challenges for the white men.
Learn more about Discussions about rights and how they may impact different groups