I think there were a lot things that were worse prior to and during the 50's and 60's:
The sort of racism that the vast majority of people would now find appalling, eg the 1964 election in which the slogan *If you want a nigger for a neighbour, vote Labour", helped the Conservatives win Smethwick.
Unmarried mothers being a source of disgust and shame, often hidden away in mother and baby homes and forced, generally for social and economic reasons, to give up their children to adoption.
Criminalisation of homosexuality and widespread prejudice.
Discrimination against women in many spheres of public life, including employment.
Very limited access to contraception and abortion, resulting in deaths from backstreet abortions.
Capital and corporal punishment.
I am not sure that there were "common goals" but I think there was more conformity and less questioning of certain people, professions and institutions that were seen by many to be the mainstay of civilised society and so beyond criticism - eg the monarchy, the judiciary, the professions, etc, etc.
To some extent, I think the acceptance of these common values and beliefs led to the general public being more compliant and thus there being a more cohesive society. But it could be argued that advances only come about when people become less accepting of the status quo and less subject to "group think" and start to demand changes.
I think there have been huge advances, particularly in social attitudes. But the enormous emphasis on growth and consumerism, with the acquisition of wealth and celebrity being seen as a primary goal for many adults and children, does not really lend itself to "common goals" in terms of societal, rather than individual goals.
I don't think there was ever a perfect time, but big improvements were made in the late 60's and 70's, which still continue but which are constantly challenged by "the unacceptable face of capitalism" which Heath referred to. I think the austerity imposed upon the country has created feelings of resentment and distrust and has caused division and feelings of hopelessness. In such a situation neither "common goals" nor "common values" are, I believe, likely to thrive.