No, being an An-Cap does not necessarily mean a "profit at all costs mentality." Anarcho-Capitalism, as an ideology, embraces the idea of private property rights, enforcement of contracts, and rejects fraud as a mechanism for achieving one's ends.
Some of these crooks may have chosen the An-Cap label for themselves, but I damn sure don't claim them, FWIW. And neither do most of the other An-Caps I know.
It sounds like you've already made up your mind that it could only be that way, but see my response above if you are actually interested in some more considered discussion of the topic.
I'll just say that I have at least as much faith that people can voluntarily and peacefully reach a workable agreement without using a construct like "The State" as I am that they can do so by using such a construct. In either case, human nature is the ultimate limiting factor.. the State will never be more morally pure, or have more of conscience, etc., than the people who constitute it, IMO.
http://en.wikipedia.org/wiki/Anarcho-capitalism
http://en.wikipedia.org/wiki/Murray_Rothbard
However, I don't feel it does a very good job. It basically devolves into private security provided a la mafia protection money or what's been seen in Sao Paolo / Rio de Janeiro with the cops enforcing payments from the populace for keeping the riff-raff out, while running their own schemes. Likewise, I can very much see the whole law system being subverted to benefit those providing the most cases (thus helping the bottom line) or benefiting a certain plaintiff over another, like with the eastern district of Texas handling so many patent cases.
Overall, the response seems incredibly wishy-washy with little thought paid to the ways the system can be significantly subverted.
Wouldn't a anarcho-capitalist demand that a market loser like Citi pay the price?
This by the same guys who helped slowly get all the checks and balances to prevent precisely their behavior, removed.
It was the government that continued the existence of a terrible system because the most vulnerable were held hostage by the financial institutions. Which are now once again slowly fighting to get their rules re instated.