It's not worth the bother. Apart from keeping patches up today --- which is a good idea --- it's probably not really buying you anything.

It's not crazy to periodically rotate keys, but attackers don't acquire keys by, you know, stumbling over them on the street or picking them up when you've accidentally left them on the bar. They get them because you have a vulnerability --- usually in your own code or configuration. Rebuilding will regenerate those kinds of vulnerabilities. Attackers will reinfect in seconds.