Yes, by and large, I think Crossland was a kind of egalitarian (that point might not have been clear in what i wrote, as i was answering Azrael's different point about Crossland). He was, in terms of 1950s debates a revisionist, but his vision of education probably did see it asa lever to change society. All that was rather messy at the time though - he himself was a toff and a number of people in the Labour cabinet had probably benefitted from grammar school social mobility. But, yes, I think he did see education as a vehicle for social change.
In those early debates, the more egalitarain planners and politicians realised that this would require the building of very large schools - with the possibility of bussing kids in from the surrounding towns (to ensure a social mix) - and that you would have to get rid of all grammar schools. For a mixture of political and economic reasons, neither of things actually happened.
The more egalitarian vision at the time also had a view on what should go on inside the new comps - mixed ability teaching, informal child centred learning, the 'new history', less exams, no uniforms. All that was tried in different locations and to a varying degree. However it was never a full scale government driven programme. In fact the government was on the defensive about all of this almost as soon as it happened - and officially rejected the package in 1976 (jim Callaghan's speech to Ruskin College). Labour also of course were the party that slashed public expenditure in its last days in office, 1978-79.
Sorry, your question - Well, as a Marxist i don't personally believe you use education entirely to overcome class inequalities and ownership patterns etc. However I do think that education can make a real difference to individuals and the way they see themselves in the world.