I would say, you're trying to set up a block-cutover type of installation.
Take your time, set up the Linux server.
Replicate everything over. Do it early. Why not, you'll be able to replicate again to sync up what's happened since.
If everything goes down, you get to recover without rewriting.
Copying (I assume you mean OS-level copying) won't let you resync this way, and frankly I don't know, is the Linux ODS now identical to the Windows ODS?
I'm sure you meant OS-level, but if you didn't, Notes copies change the DBID: you'll always have more options with replicas, and your users and their DBLinks and doclinks all continue to work.
There's just nothing better.
Replicate.