You are supremely confused. The dawn of Neoliberalism marked a violent swing from the centre-left Social Democratic politics of the post-war period to right-wing politics during the seventies and eighties by the most right-wing governments that either the US or the UK had seen in decades. What came with it was depressed wages, mass unemployment, mass privatisation, financial sector deregulation, castrated unions, an ongoing series of major recessions, endlessly rising debt for individuals and for nations as a whole, and the re-widening of the wealth gap to pre-war proportions. These are all consequences of right-wing idealism. The establishment is firmly right-wing — any beginner’s guide to economics could tell you that!
There is indeed a problem with the “phony left”. Throughout much of the West, traditionally left-wing parties have been infiltrated by the right. The Democrats in the US, and Labour in the UK are both perfect examples, and “phony left” is a fitting name for them. The Labour Party leadership of the past year and a half is a fine example of how the right-wing establishment treats politicians who voice left-wing views, as was the “phony left” (aka right wing) Democratic Party’s response to Sanders’ popularity last year. You can’t sensibly believe that the establishment is left-wing when it treats people who voice left-wing views in that way — it’s nonsense. I reiterate — the current established Western political economic model called Neoliberalism is, and always was, right-wing. Nobody in the US or the UK who is under the age of 45 has ever lived under a truly left-wing government. Read that beginner’s guide to economics, and then come back to me.