I think BonnieF makes a good poing above. Like her, I feel like politics has changed around me, and left me high and dry.
As far as my own politics go, I would describe myself as liberal: ie, we should allow diversity of views and ways of doing things, along with support for the individual together with individual responsibility, together respect for a person's private beliefs. I would contrast this with socialism on the left, whose ideology is to treat people as part of a group, and traditionalism on the right, neither of which allow individualism or individual beliefs, public or private.
Back in the early 90s, liberalism was generally the preserve of the centre-left. The right, which was dominated by the Conservative Party, was stagnating. They were on the wrong side of every debate. The people thinking most carefully and articulately about the UK's future were Lib Dems or Labour - the latter of whom were increasingly thinking more in a liberal direction and less of a socialist one, as evidenced by the election of Tony Blair and the removal of Clause 4 from the Labour Party constitution.
Skip forward to now, and what's changed? Well, the Conservatives have been a lot more liberal in government this time round than they were in the 90s; partly because they've modernised, and partly because of Lib Dem influence, at least early on. Speaking of the Lib Dems, the treatment of Tim Farron shows how things have changed. In the 90s, it wouldn't have been a big deal that he was an evangelical Christian in his private life. Skip forward to 2015 and it was all anyone said about him. Incidentally, the Conservatives gained a lot of votes directly from the Lib Dems in that election. I suspect that part of the reason why UKIP emerged is because the Conservatives had moved in a liberal direction.
In the meantime, Labour have moved back towards the left and are increasingly going back to socialist ways of thinking - not yet economically, but certainly in terms of how society is analysed. This is bound to lead to a level of intolerance, because everyone has to fall within the rules of the group.
Within society generally, Marxist class analysis has come right back. You see it on these boards, particularly on FWR. Five or six years ago it simply wasn't there, or was the preserve of a few contributors. Now it is the dominant theme, and the reason why trans rights have become such a headache is because in Marxist analysis it pits one apparent oppressed class (transpeople) against another (women) and there is no ideological framework for working out how their rights should coexist. I suspect if the issue had arisen in the more liberal 90s, discussion would have been more generous and easygoing on both sides.
Having said that, I absolutely don't buy the notion that right wing people are any bit more tolerant. I have a Facebook "friend". His page is a constant rant against gays, greens, cyclists, public transport, foreigners, the EU, immigration, #Metoo, Muslims, and anyone who doesn't like Trump or Tommy Robinson or guns. There is no discussing any of the points he raises because he's simply not interested in rational discussion. I know plenty others like him, and I think their views are pretty well reflected in the media.
So I suspect what's actually happening is that those of us who remember the 90s instinctively expect only the liberal/left to be more tolerant and open-minded, and what we're actually noticing is not that the right is more tolerant, but that it's more tolerant than we expect it to be.