How to migrate from Fedora 19 to CentOS 6?

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http://serverfault.com – I've got a server happily running Fedora 19, but am thinking about living in a calmer, more stable, less bleeding-edge world and moving to CentOS 6. Is it possible to make this move in a straightforward way -- just sorta run the CentOS installer over the Fedora installation, tweak a package here and there, and come away running CentOS? Or is this a hairy, unreasonable thing to even think about doing, and that starting over with a clean disk is, in the long term, faster and easier? Thanks! (HowTos)