(1) I think this is a basic terms/mindset issue. Income is not wealth. Most things you own are liabities (costing you to keep them), instead of assets (earning you money by keeping them.) The point is, they aren't and never were near poverty. But now they invested enough of their income so that they don't need to work to live comfortably, they are pretty much rich. For example, they purchased their house. They actually own it, so they are never going to get kicked out of it, even if they never work again. What proportion of people you know with >$20-30K incomes own their home outright? Still sure your measure of poverty is correct?
(2) The return on doing those kinds of things is great, and as MMM says, you learn useful skills, get fit, and most people find the activities enjoyable. You can always subcontract some of it without really changing the thesis, just not all of it [1].
On the ice cream, I got the impression she was anxious because it was super weird to waste all that money on extremely fleeting and pointless pleasures, but I'll give you that attitude might be unpleasant and socially awkward. Still don't think I'd call it poverty though; more like extreme thrift/being a tight bastard.
$400k - so? What relevance does its market value have? I think it makes much more sense to see a house as a useful liability (everyone's got to live somewhere, and you've got to pay taxes and upkeep even when you own it, so its costing you, not making you money), instead of pretending it's an asset (and it's a shitty one due to lack of diversification even if you were happy to sell it tomorrow and live under a bridge).
Genuine point: do you really think this? What's your financial education/understanding like? MMM being rich just seemed obvious to me, which is why I'm arguing so hard. Thanks for joining in!
[1] http://www.ribbonfarm.com/2011/12/08/acting-dead-trading-up-... for an interesting take on the collapse of the middle class and trick of mixing fancy with not.