Binge drinking in the UK is learned behaviour - a cultural phenomenon which will not be changed by increased prices.
What we need to do is educate people out of the British habit of drinking to be drunk. It is this approach thay flies in the face of the previous government's laughable 'cafe culture' idea behind extended opening hours. A large proportion of drinkers in the UK do not drink as a socail activity as Europeans do, they drink to be drunk an quickly and cheaply as possible.
Until we educate the next generation that drinking to the point of alcohol poisoning is not actually the definition of a good night out. That is where the problem lies, that is what needs to be addressed. Price is a factor, but not the driving factor.
The notion that people cannot enjoy themselves without at least some alcohol to loosen their inhibitions is the root of binge drinking. Alter that mindset, and you will cure the binge drinking problem. It's not about cash, it's about attitudes.