Walmart isn't my proof, I'm simply saying they have the similar reasoning.
Also, I find it humerous to think one needs proof to accept that owners are greedy.
Of course, but this really isn't the case here and you know it. You're trying to turn this into an argument over semantics but the reality is most Americans support a minimum wage hike to 10.10:
http://www.huffingtonpost.com/2013/08/01/minimum-wage-poll_n_3691118.html
So unless that 20% is entirely small business owners when 2/3 of them support a "minimum wage hike" without a stated number, it's pretty safe to assume most, if not all, that 2/3 support a $10.10 wage hike. I think it's safe to assume they all assume a $10 minimum wage hike.
If their reasons are "inability to pay," then they're going to go under very soon regardless of a minimum wage hike. This often gets lost on people.
Their reason is "it will cut our profits" to which I have a small violin playing (oh, and yes, I've experienced in small businesses).
Yeah, and minimum wage workers earning more means more money to spend on their good, which is good. The point is that small businesses have to compete for skilled labor and rarely employ unskilled labor outside the food sector (who is already exempt from the minimum wage law). That's why only 15% of small businesses pay someone minimum wage or less and with most of those being restaurant jobs exempt, the actual percentage of those paying out minimum wage is almost irrelevant. And the same goes for near minimum wage.
It is the big businesses who fear a minimum wage hikes because it will eat their profits in addition to making their products less desirable (income effect!).
This is completely wrong. Most evidence shows huge positive effects on poverty and nearly non-existent effects everywhere else. Card/Krueger was only the first in a long line of studies demonstrating this. Your argument is nothing but Neumark's BS argument (I'll mention him again later) which Card/Kruger addressed in a later paper and refute.
Regarding youth employment, this has also been refuted. Neumark's study was directly refuted by this paper:
http://www.irle.berkeley.edu/workingpapers/166-08.pdf
In fact, some studies show it increases youth employment:
http://moya.bus.miami.edu/~lgiuliano/minwage_prepub.pdf
The first link is Canada and I'm not bothering with it. The second link doesn't work and you're liking the Fraisier Institute, a libertarian think tank. The final is from Neumark and Wascher (the latter is a complete schill for conservative think thanks and corporations, btw) and Neumark is pretty much the only current American economist pushing the minimum wage is bad argument (besides when Wascher pops his head up from the sewers) and his own papers have been thoroughly refuted numerous times to the point that he goes back and re-does them after they've been refuted. There is no reason to take Neumark's research seriously as anything he's done before 2012 has been destroyed and sent to waste bins. Neumark himself, when confronted with the data he found, admitted the effects are negligible but essentially argued it didn't matter because basically if it has a negative effect of 0.00000000001, then it shouldn't be allowed regardless of the positive effects.
If you want to read stuff not being pushed by an agenda, I'd start here:
http://www.cepr.net/documents/publications/min-wage-2013-02.pdf