There's no reason to be so confident that "he came to power lying about his objectives". It seems more likely that faced with reality of persistant hostility from the US his expectations of what was possible and what was necessary changed.

During World War Two, Britain too was a dictatorship in all kinds of ways. But after six years it was over. With Cuba the condition of wartime persisted for generations, and is only starting to relax now (and very much under threat of that reversing now).

As Jim points out the attitudes towards homosexuality in the 1960s were very much in line with those in the US and Britain and other countries, including the threat of imprisonment. Castro's attitude was totally characteristic of the time. Indeed if Cuba had been out of line and as accepting as present society is, that have been used as another reason to condemn the regime - and would not have gone down well with Cuba's desperateely needed lifeline, the USSR.