wrong switch..
I've done what Sheldonblaze said (about "gutting" the EFE "butterfly" and replacing it so it appears stock)..but here where I live,its best to leave it in place and operational,especially if you have an aftermarket carb like a Holley or Edlelbrock with any spacers or adapters under them..the carbs frost up and sweat,and the vehicle runs like ca-ca and stalls at every stoplight,or when you try coasting!..nearly gets you killed when the motor stalls,and power steering and brakes dissapear!

..happens often in foggy or cool damp weather,when its under 50 degrees..
Since your in CA though,you probably wouldn't notice much difference,that is,IF your in the warmer parts of the state..I'd either fix it right,or do like what was suggested,so the "visual" inspection wont be an issue..
You probably have either the wrong ported vacuum switch,(PVS)or are hooking the EFE up to the wrong ports on the right one..the EFE's PVS is located in the thermostat housing..there is another PVS in the intake manifold right next to it,that one is for the EGR valve,and works just the opposite of the one for the EFE..it denies vacuum when cold,and allows it when the coolant warms up enough...the PVS for the EFE ALLOWS vacuum cold,and denies it when hot!..
The same PVS for the EFE,is often tied in with the distributor vacuum advance,the switch has several "ports" so both the EFE and vacuum advance can plug onto the same switch..if you put the vacuum hose for the EFE o the ports intended for the distributor advance,it might do what you are describing too..have to use the vacuum gauge to find which port gets vacuum only when cold!..and make sure the right port on the PVS is hooked to the MANIFOLD vacuum source(one that has suction at idle!)...
Despite being called a "ported vacuum" switch..most of them use MANIFOLD vacuum to "energize" them!..confused yet??

....and aren't emission controls a blessing to work on??

....
P.S.. if it still "rattles" after your sure everything is getting vacuum only when its supposed to,you can insert a "vacuum delay valve" that acts as a "snubber"in the vacuum hose to the EFE,so the EFE wont "chatter" like that..even a perfectly normal one will rattle a few times when the PVS starts to open as the coolant hits the right temparature..I had one that used to make me think a rod was about to come thru the block every morning!..
