Your BLS source shows a net *rise* in wages if you go back beyond the stagflation spike of the early 1970's (when unemployment was high and far fewer women and minorities were available to the skilled labor pool). Click on the link above to illustrate.
You have selected a different data series, hourly wages, which given variations in weekly hours worked isn't the same. Select CES0500000051 if you wish to compare apples to apples. If you do so, you will see what I said was true for '70-'04 remains true for '64-'04.
However, even looking at the series you picked, over a forty year period from '64 to '04 hourly wages rose from $7.80 to $8.30 - that is what you call increased wages paid to America workers?
A 50 cent raise over forty years?
No wonder they used to give gold watches at retirement.