I manage several multiple ccTLDs where English is the primary language (UK, ZA, AU, and CA). They are all using the same content as the corporate US site. We implementd the rel canonical element across the ccTLDs to point to the corporate site. We haven't experienced any issues so far and the ccTLDs still rank well in their respective countries for our major terms.
I don't know if this is the most appropriate/effective strategy, so I'd love to hear how others would address the orginal posters issue.