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After the beta we surely want suitable questions to be migrated, but how works the procedure while we are still in beta?
It is not allowed to migrate questions to a site that is in beta, so no.
Yes. I think that it is important to get things organized during the beta and moving questions over helps define this site as well as SO.
Beta is a time to allow the site to determine its own future and fate. It has to develop a strong "taste" for good and bad questions without input from other sites.
Once the migration flood gate is opened, a weak community may end up being defined by outsiders.