I'm hopeful that if people were to look at the same data the teams would not have such vastly different ideas about what problem they are trying to solve. I presume that these organizations generate overlapping products because they don't communicate, but shared data is a kind of top-down communication which works even if the teams feel that they can not coordinate.
Generally the existing system is appropriate to the business context it was first built for. The problem is that the owning team would like to claim the “impact” of you reusing their solution in a new domain, while maintaining a “not my problem” disposition towards the unique constraints of your domain, and towards the daily ergonomics of your life in their codebase. What’s needed is a proper platform team that can serve both customers.
