Final answer:
The correct word to complete the sentence is 'concur,' which means to share the same opinion. 'Agree,' 'align,' and 'coincide' are not the best fits in this specific context.
Step-by-step explanation:
The correct word to fill in the blank in the sentence 'I have great respect for your knowledge of our government, but I really cannot _____ with your opinion about the role of the judiciary.' is concur. This means to agree or have the same opinion. The other options, while similar, have nuances that make them incorrect in this context. Align generally means to come into a line or agreement, especially in positioning. Agree is a broader term meaning to have the same views or emotions. Coincide specifically means to occur at the same time or to correspond exactly. Concur is the best choice as it directly communicates that the speaker does not share the same opinion about the judiciary's role.