[Edit] Just another thought - that data does not break down the households into percentiles for total household income. I would expect that the fraction of multi and no income households w.r.t. total households has increased more on the lower income side of the spectrum than the middle/upper end. It also doesn't account for how much each earner brings in - which is related to the weekly hours stat in your source - I'd expect this to be even more influenced by accounting for income quintiles (or quartiles).
Once you add the changing rate of marriage, increase in single person households since the 70s, and the fact that real inflation often varies depending on which income quintile you're in, I don't think enough data is available to let you pick it apart meaningfully. So we're left trading anecdotes or stats with gaps. :)
The number of traditionally shaped families, i.e. mum, dad, and 2.2 children has plummeted since the 70s and the number of singles, with or without children has rocketed from both increasing separation and later entry into relationships.
I'm in agreement with your main point, that it's far harder for a single earner family to thrive now than in the past. I doubt I can cite that in any sensible way.
Where in your citation is this claim supported? The /percentage/ has fallen which could either mean that the number has fallen or that the total population increase at a faster pace than the number.
In terms of hours worked, it's about the same, 44 hours although has been trends down since the early 2000's.
[1]http://www.aei.org/publication/update-how-changing-household...