It depends on who's President in the 1980s. If a democrat is in there, the '90s as I can't see a successful Democrat governing to liberally. If a republican, a less socially conservative and just overall watered down version of OTL 1980s.
Let's assume that a fiscal conservative, but social moderate wins in 1980. Perhaps these could be their social policies:
* Supports gay marriage, but leaves it up to individual organizations if they want to allow it or not. For example, if a liberal Episcopalian Church wants to practice it, they may, but if a more conservative Baptist Church does not want to, they don't have to.
* De-criminalization of marijuana and perhaps some other drugs.
** Rehab instead of prison
* Mass-closing of many prisons.
* Acts quickly in regards to AIDS crisis.
* Allows flag-burning.
* Lets prostitution be legal