The right focuses on the second trimester issue because
Roe mandates the availability of elective second trimester abortions, which people oppose. And the left demonizes Republican abortion laws like the one in Mississippi which contains exceptions for health of the mother and the baby. Your polls only confirm that where public opinion lies is something close to the Mississippi law (which incidentally isn’t dissimilar from the law in France or Germany).
As to your other point, you can’t use support for Democrats as a proxy for support for “social progressives.” My parents vote straight ticket democrat, but they’re not the least bit socially progressive. I’m not talking about democrats who support DACA. I’m talking about the ones who say “LatinX.” These are the ones driving the ideological rigidity PG is talking about. These folks are overwhelmingly white: https://hiddentribes.us/profiles/ (“progressive activists” are 79% white, the same as “traditional conservatives”).
You have to appreciate that white people vote Democrat for different reasons than POC. Matt Yglesias has written about this at length. For example, Muslim Americans supported Bush in 2000. Post 9/11, Iraq and the anti-Muslim rhetoric on the right pushed many to Democrats. But Muslim Americans are still very conservative within their own communities: https://www.cnn.com/2019/05/28/us/lgbt-muslims-pride-progres.... Additionally, many are alienated by the right not because it’s religious, but because it’s Christian specifically. Thus they may support democrats out of support for pluralism, not because they agree with Beto that we should strip tax exemptions from Catholic churches and mosques. Indeed, one of the starkest differences between white and non-white democrats is that white democrats overwhelmingly believe that religion isn’t necessary for morality, while about half of non-white democrats believe it is: https://www.pewresearch.org/fact-tank/2020/02/27/5-facts-abo...
The right focuses on Warren’s primary run because it allows them to disentangle the “we like Obamacare Democrats” like my parents, from the socially progressive intersectional democrats like Warren. Indeed, even Sanders is a bad point of comparison because remember the Warren progressives attacked him as “racist and sexist.” Sanders is popular among Hispanics because social democracy is a broad lane among Hispanics.
And Warren shows just how unpopular “socialism plus intersectionality” is with POC. You cite the Iowa Caucus, but 91% of democrat Iowa caucus voters are white. The POC there are basically all college students. I don’t know why you didn’t cite the Super Tuesday results, which is when the diverse parts of the Democratic Party actually vote. Warren got crushed among POC. Among Black people in Virginia, for example, she got 7%, losing to Bloomberg: https://www.cbsnews.com/live-updates/super-tuesday-14-states.... Among Hispanics in Texas she got 8%. https://www.nbcnews.com/news/latino/latinos-boosted-sanders-...
All told, Warren’s support in Super Tuesday was 80% white, in an electorate that was only 50% white. Warren was, in fact, never even a viable candidate in a diverse Democratic Party: https://nymag.com/intelligencer/article/elizabeth-warren-boo.... We were subjected to her for a year because she’s incredibly popular among the highly educated white people who run the media and everything else. It hasn’t been lost on me, as a person of color, how many of the loudest voices talking about race over the last year in elite circles were both white and Warren supporters.
There’s other data points too, such as Eric Adams winning Blacks and Latinos in the NYC primaries, and Yang winning Asians, while white progressives decried both.