Does this mean same as "that was the time of crazy years"?
No, in this case "those crazy years that was the time" does not mean the same thing as "that was the time of crazy years". This is because the full sentence here is "those crazy years that was the time of the flower power". So "those crazy years" is referring to the time of the "flower power", which was a popular slogan used to indicate peace in the 1960s and 70s in the United States, and today is a nickname for that era.
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