Hi Ken,
I love California Carnivores - its one of my favorite go to places for carnivorous plants and knowledge.
Yes, replant the Sarracenia into its permanent home. Their roots are not fragile or touchy. I wouldn't wash off the old peat but when you take it out of the current pot, some of the peat is bound to fall away. Don't worry about that. The important thing is to plant the crown above the peat as it is now. If the crown is too low, the plant will rot. Yes, full sun but if its not there now, as Brenden said, move it slowly into more and more light.
Those little plants in your pot are bonuses. The feathery stuff is moss but the little spade leaved ones will grow into something else. I got them this year when I ordered a Drosera from CC and am still waiting to see what the something might be. I'll go out tomorrow and see if they suggest anything yet.
You live in the perfect location for Sarracenia. I have to work a little harder at maintaining mine outside year 'round. When I lived in California, they lived outside in pots year 'round but in Reno, they have all been transplanted into bogs. I cover them in the winter with burlap to keep them from being damaged by the freeze/thaw cycles of our Reno winters but that's about it.
Daisy