I myself do not really view “What is to be Done?” as a great beginner work for Marxists, since it mentions a lot of obscure philosophers or groups that a modern audience (with their cursory knowledge of Russian history being from the lips of liberals, or worse, conservatives) would hardly know the context of, and I am reading a version that has notes on these people!
That is not to say that it is not an influential or essential work of Lenin (I think it might be up there with “Imperialism, the Highest Stage of Capitalism” and “The State and Revolution” in terms of either factor), but one has to be willing to trudge through Russian names that you will likely never hear again.
In this way, sometimes conservatives can take on leftist positions, or it’s how leftist positions are appropriated by the right.
But usually when they take these positions, it’s to dismantle government power in favour of power concentrated in corporations (or in the case of homeschooling, religious institutions), which is arguably an even greater concentration because there are even less restrictions as to what those other institutions are capable of.
When you do an analysis, you have to consider what institutions are in place to replace government institutions, if any.
It could just be hypocrisy and conservatives choosing not to use their brains for anything (half of their brainpower is used to say “but Biden” whenever they cannot argue against an anti-Trump argument). Also yes, what you said is true and has an important implication: A conservative and a communist might superficially share some similar beliefs, but what acts they commit will embody what their actual goals are (which is why horseshoe theory is absurd).