Great idea; I think tha even import/export solution is a good one; maybe a long-term solution would be the import/export or the production of a json, so you can use it with Visual Studio tools, for example, like the tools that in Visual Studio help to create a virtual machine with a simple drag and drop of the "action" linked.
it seems that this option is available only on "My Flows" entries and not on "Team Flows"; I also noticed, but it is not related to this "Ideas", that I haven't a "Run Now" option.
You can read more about this feature here: https://flow.microsoft.com/en-us/blog/make-a-copy/