Okta APIs will not return a user’s password back, so I don’t see anyway to export this data so you can import the users into second org.
Have you looked into instead setting up an Org2Org connection between the two orgs so users can start accessing apps in the second/new org?
If you go the Org2Org route and you want to detach the users from the original org down the line so they can set a new password in the new Org (which there will be no avoiding), you can unlink them from their Idp and reset their password, similar to whats discussed in this thread.