I agree with you because there are a lot of cases when men take over jobs. For example, in the NFL all the referees are men. In addition, many woman sports like softball and volleyball aren't that popular in the U.S as like big sports like basketball and football.
Yes, I think the U.S. has a class system. Here it's like a system in old ages where there were the peasants, nobles, knights and kings. Now, in modern culture the people who earn $200,000 per year are the kings. This is about 3% of America's population. The knights earn about $75,000 per year, which is about 40% of America's population. The nobles are the middle low class which earn 27% $19,000 per year. The bottom class 30% are the peasants and earn $7,000 per year
Today in the United States, I think that they are unequal. For example, even though wages may have increased over the past years men's wages are still higher. According to the Boston Globe average wages for men are $860 and the average wage for women is about $706. This shows that still men an women aren't equal today in the United States.