An issue I see is that actually the UK is more in to this that even the US. Might not have the depth and scope, but certainly the intention, with out even the fig leaf of a constitution. American citizens have some rights to work with, we dont. When you get down to it, we are facilitating the US spying on the EU, as we seem to be some sort of gateway hub between the EU and the US, and we, for some reason I do not understand, favor the US over Europe. While much of the embarrassment is on the US, the Snowden lark puts the UK in a very exposed piggy in the middle position where we might get forced to pick sides. The US can take care of its self, but the UK could be left deservedly politically stranded.
On the other hand, the EU has a lot of its own problems and Im not sure it has the motivation to pick a proper fight with the UK. All we'll probably get is some posturing to appease who ever is complaining, and normal BS will resume.
I have to say, given all that, it rather amuses me that a few years ago Obama was telling the UK it should look more to Europe than the US. Heh, I suppose now we know why: We are the US agent in Europe.
I have to wonder if long term the Snowden leaks are more damaging to the UK than the US. People will still deal with the US because of its economic and military power, neither of which apply to the UK.