Saving SQL Server DMV's for later use
The DMV's themselves are the same between same builds of SQLServer and give you a snapshot or a cumulative counter of the status of your server at any given time. 

You cannot restore the database to a new server with the metadata from the old one. You can make snapshots of some of the performance metrics into a table but you cant restore the state of the DMV's. You can however grab the query plans from your production server and use plan guides to have the same behavior in test, if you want to mimic specific behavior of a single query that is not behaving in production environment but runs ok in test. 

You can then of course use the Management Data Warehouse to collect information about performance of queries and the system to find which queries to optimize or third party tools that can collect query plans and wait statistics on the server. Here is a way to collect the query plans using sp_whoisactive