Final answer:
The characters are likely excited about the Brooklyn Bridge, inferred from the eager and appreciative tone of the passages describing the anticipation and the shared experience with future generations.
Step-by-step explanation:
From the provided excerpts, one can infer about the characters that they are most likely excited to walk on the Brooklyn Bridge. This inference is drawn from descriptions of people eagerly anticipating the future and marveling at the sights of Manhattan, Brooklyn, and the river. The poetic imagery of 'others will see them as they cross' and 'Gaze, loving and thirsting eyes' alludes to a sense of wonder and appreciation for the bridge and its surroundings. There is an eager and reflective tone as individuals contemplate the passage of time and their connection to future generations through this shared landmark.