Especially later on, he certainly had a personality cult and, while it's not carved into a mountain, they did have big stone monuments to him:

https://en.wikipedia.org/wiki/Stalin_Monument_%28Prague%29

While I think the cult was a case of severe personal and strategic wrongheadedness on the part of Stalin and many others, I certainly would not equivocate between him or his admirers and those of especially the worse three heads on Rushmore.