They hope to 'build a bridge' between the two cultures. [=they hope to help the people in the two cultures understand each other]
I don't know how we'll pay the bills if you quit your job, but 'we'll cross that bridge when we come to it'.
We had our differences in the past, but that's all 'water under the bridge' now.
(..) Fire. - Mr Hawk, pursuit course. Engage. - Aye, sir. - What? - I can hear them. I have a patient here who insists on coming to the bridge. - Welcome aboard, Mr Worf. - Thank you, sir. - The Defiant? - Adrift, but salvageable. - Tough little ship. - Little? You do remember how to fire phasers? (..)1996 Star Trek: First Contact
(..) It would introduce an unstable element to a critical situation. Your experience makes you the perfect man to lead this fight. Bridge to Captain Picard. We've received word from the fleet, they've engaged the Borg. Mr Data, put Starfleet frequency on audio. Flagship Endeavour, stand by to engage. (..)1996 Star Trek: First Contact