I don't think the Brits are obsessed with sterling. I do however feel Brits are divided on this Euro business. Some, as has been posted above highlight the obvious benefits to travelling to our European partners and the rip-off transfer charges. The other view and one which I share is that and I am no economist, ultimately a currency's monetary value in relation to other currencies is determined by a number of factors, principally interest rates and government debt ( as proportion of national gdp ) and I wouldn't want to be burdened with a common currency shared with others whose per capita debt exceeds that of GB by a long way.
I would also say that currencies fluctuate. There are times when exchange rates benefit and times when the opposite is true. The bad times are cancelled out by the good. Many GB based members with assets in Cy will have benefited, on paper if not elsewhere, from the recent strength of the Euro.
As to GB's foreign policy to which GR refers. That policy for hundreds of years has been to ally itself with or to form larger alliances with one or more of the major players in Europe so that it is part of the most powerful alliance. In the past that may have been the Germanic states against the power of Napoleonic France, or as circumstances and threats changed, with France and Russia against Germany ( on two occasions ). Since the war, circumstances changed again of course and GB allied with the most powerful player in Europe, which wasn't a European power was and is the USA via the NATO alliance. In the future, who knows it may be Europe itself.
( Sorry about this but I am being followed around by a mouse holding a banner. Can't figure out how to get rid of it from my sig. So no offence intended to northern brothers and sisters but if anyone from the army of the RoT is reading this please do take offence. )