I think that "preferring strong state involvement in economy" is a very traditional "left-wing" policy.
Regarding social conservatism, even extreme left-wing governments have often been socially conservative in many issues, even if they wanted to shake power structures. Consider, for instance, how stalinist Soviet Union related to homosexuals.
Regarding social conservatism, even extreme left-wing governments have often been socially conservative in many issues, even if they wanted to shake power structures. Consider, for instance, how stalinist Soviet Union related to homosexuals.