The Christian Right from America in 1970's-1980's isn't responsible for the Postmodern Left that was formed earlier in the 1960's-70's in the US and France. And if social conservatives created the Woke Left why did the Woke Left pop up in the 2010's? The Christian Right rose in the 80's, choked in the 90's and the last remnants withered away around 2004. None of these time tables make sense.
You're a Gay Identitarian so you hate the Christian Right. You're a Cis White Male so you hate the Woke Left. So you're just going down a list of your enemies and blaming them for everything.
The Woke Left spread in college campuses in the 1960's and gradually grew. Then much later in 2012 smart phones became popular. Tumblr, Twitter, and the Internet in general exploded in users. The Woke Left which had become dominant in the humanities/social sciences departments of campuses was able to spread to places like Tumblr and Twitter. Now they're spreading into the media, Big Tech, and many Fortune 100 companies.
The Woke Left popped up in the 2010's partly as a direct response to the Great Recession and the abrupt rise and equally abrupt fall of Occupy Wall Street.
The Christian Right was still relevant up until 2008, though by 2004 it was largely being propped up by the Neocons because their antics in the 80's and 90's pissed off damn near everyone outside of Appalachia and some parts of the Deep South
The Woke Left as we know it today emerged in a perfect storm of conditions. You had an entire generation and a half (Millennials and the first half of Generation Z) who grew up in the heyday of the Religious Right and generally hating living under them (if they were in a red state) or mocking the fundies' lunacy and feeling like they were holding the rest of America back (if they were in a blue state) and we see a lot of that mindset still active in some of the wokester lolcows. Lindsay Ellis and Hope Chapman are examples of the former while MovieBob and ADF are examples of the latter.
So you have all these Millennials and the oldest of the Zoomers being told their whole lives to go to college because that's the only way to succeed. Contrary to the narrative, it's not the Boomers who push this the hardest, it's Generation X.
The Boomers agreed with this mindset because it worked for them as well and both of these generations were from the era where a degree in almost anything could land you a management position or mid-level desk job. But it's the Gen X'ers who push this "a Bachelor's Degree is the real high school diploma" since they were the first generation where blue-collar manufacturing wasn't a major aspect and white-collar work was seen as the ticket to financial stability.
For Gen X, that strategy worked but for Millennials and Early Zoomers, it didn't.
The New Left's postmodernist remnants had been in academia since the 1960's and had pretty much taken full control by the early 2000's, right in time for Bush's unique hybrid of Christian social conservatism with corporate neoconservatism and beginning in the 90's, a lot of concepts that were once just elective classes or at most, a minor focus for the Humanities end up becoming full degrees and this is where we get the glut of Grievance Studies majors.
In the late 2000's, the Early and Core Millennials are getting out of college while the Late Millennials and Early Zoomers are getting ready to enter it. This is the same time as the Great Recession and the rise of Barack Obama, who campaigns on being the antithesis of Bush when he's just a neoliberal corporatist who continues most of Bush's worst policies but does so with a progressive veneer.
The Great Recession imperially fucks over the Millennials but also the Boomers too. Generation X is largely unscathed but they already hate the Boomers and gladly scapegoat them once Millennials get too uppity over the fact they're still in their parents' house and drowning in debt from a worthless degree.
Occupy Wall Street happens in the fall of 2011 and pretty much everyone who's not a Neoconservative, a Neoliberal, or a Christian moral conservative supports at least some of it when it first begins. It springs up all over the country practically overnight because of the new X-factor of social media, just like the Arab Spring did earlier that week.
Problem is that it's too decentralized and nobody really has any specific aims aside from being pissed at the corporate elites for their role in the Great Recession. This scares the fuck out of the corporate bigwigs and their political lackeys and they decide to take advantage of all those Millennials who've been indoctrinated by a corrupt college system and who are probably still pissed at the Religious Right, whose demise was a lot more recent at the time (and guys like Rick Perry and Michelle Bachmann still pandered to at the time)
The corporate elites do everything they can to make sure Occupy doesn't properly organize and centralize and that the proto-Woke Left becomes the dominant clique. Occupy collapses and dies by mid-late 2012 as a result and people like Anita Sarkeesian and Tim Wise first start to become prominent figures. Events such as Sandy Hook and Trayvon Martin happen as well, and the Woke Left is fully solidified by around 2013-2014 as a major force of useful idiots for the corporate elite.
Had the Great Recession not happened, then I don't think the Woke Left would've been able to come into existence or at least not get as powerful and influential as they are today.