I guess I can see why people that had grown up in her era would have turned to ideas like Objectivism.
Between the failures of Communism in Russia and the Nazi takeover in Europe one can definitely see the failures of Socialism. If you combine that with works like Adam Smith's The Invisible Hand, especially when taken out of context, gives the perfect justification for laissez-faire capitalism.
However, as a counter-point to this, I can't help but notice that in the United States, every time an unregulated free-market economy is accepted it leads to an economic collapse, or did anyone really believe that what happened in 2008 was beyond our control?
It's typical Reganomics that causes the cycle of bubbles of economic success followed by disaster. Then a Democrat is left to pick up their mess. If we just stuck to Capitalism with the proper government restrictions we could avoid this mess.
Yes, she actually was misogynistic. All of her prose about the glory of independence and selfishness is completely reversed when it comes to women, whose true purpose is to cling to men, take abuse, and have no identity of their own. This is also why men are the superior sex according to her--because of the difference in how they "should" act, and because she likes one form of prescribed behavior more than the other. This logic is just a step above "You're a sinner and will burn in hell and God knowingly created you this way."