Basically, Adam Smith and Ayn Rand had the same thing in their minds.

How society works and how individuals meet their needs in a social context.

And both of them had reached the same solution.
That capitalism was good.

Unfortunately – for Ayn Rand’s fans, any similitude between them stops here.

Adam Smith had described a reality.
Something which had evolved, naturally, in the cultural milieu to which he had happened to belong.

Ayn Rand was trying to push a social model.

The fact that what Rand was trying to push was very close to what Smith had described is, indeed, important.
But the difference between something which had evolved naturally and the very same something which had been imposed, by force, is also important.

Let me give you an example.

Christianity.
Much of what we have today – from ‘human rights’ to the very concept of ‘science’, has it’s roots down in the principles exposed in the Bible.
South America is, now, a Christian territory. Populated by people who had immigrated as Christians and by people – just as Christian as the first category, who had been born to parents having other beliefs. Parents who had been forcefully ‘conversed’ to Christianity.

It’s easy to notice that people in South America don’t fare as well as those in Europe, North America or Australia.
Why? They are Christians, South America uses the same capitalism and the same democracy as the rest of the ‘civilized’ world… why are the results so different?

Don’t bring ethnicity into discussion!
The explanation is simple and has nothing to do with ethnicity.

While in Europe, North America and Australia Christianity and capitalism had evolved naturally – in the sense that they had occurred in Europe and had been translated by the European immigrants to North America and Australia, in South America – and in other places, Christianity and capitalism had been forcefully imposed by the immigrants upon the much larger local populations.

Just as Communism had been forcefully imposed by the Lenin led Bolsheviks upon the Russian People.

Forget about the fact that communism had failed, no matter how hard some people have tried to make it work, while capitalism works for real – when used properly.
My point is that whenever somebody tries to force something upon somebody else, the results will never rise to the expected level. No matter how good that ‘something’ might be.

Are you familiar with ‘you can lead a horse to water but you cannot make it drink’?
Leading it to water is enough.
Whenever somebody becomes ‘enthusiastic’ enough to try to force a horse to drink, the results …. no matter how skillful the ‘enthusiast’ might be…

And there’s another ‘small’ thing which makes a hell of a difference.
Adam Smith’s main point was that the whole society benefits from the functioning of the free market. Where each ‘agent’ competes with the others towards meeting his own goal. Which competition – as long as it remains free, results in everybody – well, almost, having a better life.
Ayn Rand’s point being that the free market is there only for the benefit of the ‘strongest’. Which is in line with Lenin’s view on the matter… ‘The Bolsheviks merit to lead the revolution because they are the strongest…’