Without causing this to become an argument of semantics, generally speaking, the US has higher class mobility than the rest of the world. No, it is not commonplace for someone born in abject poverty to become fabulously wealthy, it's not commonplace for anyone to become fabulously wealthy. That said, it is rather common for folks to come to the US in pretty close to abject poverty and grow to sustain a middle class lifestyle, something which is nearly impossible in most of the rest of the world. Is someone with a middle class lifestyle in the US "rich"? I guess it depends on your outlook, and this is where semantics plays a part. Mobility is not entirely caused by intelligence or hard work, but they definitely play a part.
You are correct that the best way to become rich is to be born into a rich family and inherit the wealth (or the opportunities that create wealth). But it is simply false to state that this is the only way, or even the predominate way, in which people become rich in democratic free markets. There are a LOT of small business owners in the US that, are at least on paper, millionaires, and most of these people were not born into rich families. Through my life I've known many wealthy people, and only a handful were born into generational wealth, the majority grew their wealth during economic booms and worked to entrench it so they could survive busts, most by starting a small business in a high-value niche. By global and national standards, many people who are simply professionals and not even business owners, are rich or wealthy, just by being smart with their money. If you own a home and are working a job that pays six figures for your entire career and invest well, you will retire a millionaire without much difficulty, which definitely puts you in the upper quintile in the US.
This fatalistic, defeatist, and frankly infantile attitude from some people that acts as if wealth is only ever granted by random chance and at birth is utterly ridiculous, doesn't help anyone, and is factually incorrect from every angle. Your comment clearly illustrates an understanding of this, but you seem bent on defending the thrust of the comment I was replying to from the other poster.