Matter of fact, just look at what has been happening in the past few years in the internet.
Gov. decides they can 'search' your computer's connection to 'sniff' out if you are downloading illegal stuff (porn, movies, etc).
Is it big brother? Hrmm..well, yeah..sort of... youre not supposed to be doing that stuff anyway right? (nevermind its the gov. that tells you not to..laws...). You all know the first thing you sacrifice to live in a society with laws and yes, even a constitution, is a great number of your 'freedoms' (im free to download any movie i want to no? hehe).
In any case, if you think all this is bad, you'd better read up on how companies share your information. Your credit status, age, criminal records, school records, medical records... heck, the federal goverment dont need to have someone tailing you, they can just get that information from your Credit card company, your HMO, your employer, the tax records, etc etc etc.
*bite*
"So do we agree that if there is no history of these actions or no history of the group at all that government surveillance should not be allowed?"
Morally... I agree. Realistically... the fbi/cia wont mount surveillance on Granny's weekly Cooking club meetings..but they just might do it on the Civil Engineers who Love Explosives club...even though one of the grannies could be the antichrist teaching impressionable 90 year olds how to make plastic boom from fruitcake icing if you know what i mean.