I mean, you can just read the sources, Rothbard’s most known books, Ayn Rand’s Atlas and other stuff, and make your own opinion. The only common thing between them is disdain for state regulation and leftism. But the root of Rothbard’s ideology is simply incompatible with the root of Rand’s ideology.
The former builds on natural right and non-aggression. The latter builds on people not being equal, and some being shit under the boot of others, better and more useful. These are in direct conflict.
I mean, explaining something to a tankie is similar to trying to teach a pig fly.