I think the big problem we have here is that people are conflating different things.

You got people saying that "Democrats are communists!" and other intellectual absurdities. The Democrats are not economically liberal. Wanting to raise the minimum wage and lower the cost of going to college is not communism, and anyone who says so is either stupid, ignorant, or cynically pushing an ideology. I mean, go look at the damn definition. This point is a closed one, and in an intelligent world, no one would get to make it and keep their thinker card. In many senses they HAVE moved to the right, including an overreliance on corporate donors and cozy relationships with big business.

I think what most conservatives are doing is conflating economics and the culture war. Because a category in which the Democrats have moved left is social issues. For instance, I'm 60 years old, and as much as I always believed gay marriage should be the law, it was stunning to see it actually happen.

The left has turned away from religion and tradition, so we have Pride Month and legal weed and a whole manner of things that would've made the conservatives of my youth burst into flame at the mere thought of.

The problem with the conservative position, is that the Democrats are mostly in line with public opinion on most things. Getting married because some authoritarian liberal dictator demanded it, it's because public opinion shifted. Folks are cool with gay marriage and legal weed and not having religious people tell them what to do all the time.

This puts the right in a major quandary they need to make a critique of the Democrats that doesn't come off as racist, misogynistic, homophobic, and generally bigoted. So they post memes of Komrade Kamala and how the left has run away and abandoned them. But we can't have an intelligent discussion of the behavior of the left and the right without breaking it down to categories.

Economics: Democrats moved right, Republicans are among the most conservative political parties in the developed world.

Religion: Democrats have moved to the left, but in line with public opinion. The Republicans are probably the most conservative religious political party in the world, and in the manner religious people are quite insistent in having everything their own way, public opinion be damned.

"Cancel culture": the Democrats have moved to the left and are more supportive of suppression of free speech in terms of racism, misogyny, and assorted bigotry. The Republicans are working hard to preserve traditional cancel culture, that of conservative Christian morality.

(Note that "woke" and various other words and phrases should no longer be used without the quotation marks as they have essentially lost all meaning. The exception is traditional canceling because they really have been doing that for thousands of years.)

"Warmongering": my entire life, the Republicans have been the party of military intervention and "muscular foreign policy." Democrats have been the party peaceniks. This remained true up to the day the Democrats decided to support Ukraine against conservative darling Vladimir Putin. Now the right insists the left are the warmongers.

There are plenty of other categories, but this at least gives the flavor.