But that is because, for example, many republicans (7/10?)[0] think that the democrats are racist but they are more likely to consider democrats discriminating against whites. A republican is more likely to say that sexism exists, but against men, rather than women. A republican is more likely to say that climate change exists, but isn't anthropogenic -- which is tantamount to climate change denial. The definition of what "properly controlled immigration" means is also unclear; for a republican it may be more likely to mean only let white people in or to reject all muslims. To be clear I'm not saying that all republicans believe these things, it's only that there is at the very least an extremely vocal group of people on the right who would answer these questions in the same way as someone on the left, but for vastly different reasons.
The definitions of what these words actually mean are in dispute between the two groups. Someone on the left may be answering the question as "what do they actually believe, regardless of how they would answer the question." I know that's how I'd reply to a survey like this. I certainly wouldn't have in the moment considered if they would have a warped view of the words.
>[0] https://perceptiongap.us/media/w5xgckq3/fig7d.png
(Am I mischaracterizing this graph with respect to racism?)
side note, I fall into the post-doc group who would say that my colleagues and friends generally agree with me politically. But from my perspective, it's because we are more united on what the right ways to handle the problems actually are rather than because we are politically isolated. I consider myself a libertarian, but I generally vote blue; I've got friends who disagree with my general ideological stances but who understand that particular policies are better than nothing. I think that the story that this [1] graph is telling is that the more educated you become, the more you realize that only one of two parties in the united states is proposing sane solutions to the problems we face; whereas republicans in general are the ones who have a perception gap. Probably because they're more likely to be misinformed by the media they consume. [2]
[1] https://perceptiongap.us/media/pboj2mgp/fig5c.png
[2] https://perceptiongap.us/media/3aaiax5h/fig4c.png