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Hard to hear on the phone? Your still confusing me. Does someone have your bike torn down?
Either way, a new head with Kibblewhite's installed is a good thing and less running around for you.
OR; If someone is using your current head and doing work on it, then:
As long as the installation of the valves is correct, the seats are clean, and the valve-to-seat angles are correct; then yes, toss it on and your good to go. It may take some guesswork on what shims to install, but a little trial and error will get you to the right place.
Like I said before, you may as well put a new piston kit in or at the least new rings. But make sure your cylinder is in good shape and has good cross-hatching before installing the piston/rings.