I want to build a 6.5 Creedmoor on a left-handed action. I tried a Savage and was utterly disappointed with the accuracy. So I am interested in a an action such as a Sako, Tikka or some other left-handed good action. I am asking the question what caliber bolt face would be compatible with the 6.5 Creedmoor? Where I could rebarrel the rifle to make it a 6.5?

308 bolt face, i had Hart rebarrel my 700ADL in 243 to 6.5 Creedmoor.

Rebarrel that Savage with a good barrel like a Lilja, Brux, Bartlein, Pac Nor Super Match.
A great barrel will make ALL the difference.
These days we have so many choices of great barrels there is no reason to be happy with ho hum accuracy.