Thank you
I see now, with the info, how easy it is to separate these.
Integral proteins = hydrophobic
Peripheral proteins = hydrophillic
Voilla! And to solubilize each would just to put the integral proteins in ehter and peripheral proteins in water.
Are there any other interactions or forces taht hold these proteins in their respective places in the membrane?
Unfortunately, all proteins have hydrophobic regions. In soluble proteins, these hydrophobic regions form the core of the protein (in fact, the exclusion of these hydrophobic residues from the surface of the protein is a major driving force in protein folding). So, if you put proteins in ether, they will literally turn inside out and have their hydrophobic cores on the outside and their hydrophilic cores on the inside.
Rabn's answer is the one most commonly used by biologists. Peripheral membrane proteins are associated with the membrane lipids/integral membrane proteins through noncovalent, electrostatic interactions. By washing cell membranes with a high salt solution (typically ~1M NaCl), one can dissociate the peripheral membrane proteins from the membrane so that they are now in the solution. Because integral membrane proteins are stably associated with membrane through the hydrophobic effect, they will not dissociate from membranes upon a high salt wash and will remain in the membrane extract (which can be separated from the rest of the solution by centrifugation).