"Criminal organization" is an informal term with no legal significance. It is, however, often used to refer to something specifically addressed by [18 USC 96], the RICO statutes. The definitions section refers to "racketeering activity", "pattern of racketeering activity", and "enterprise". The first term which starts by enumerating murder, kidnapping, gambling, arson, robbery, bribery, extortion, dealing in obscene matter, or dealing in a controlled substance or listed chemical, and moving on to pretty much every crime there is. "Pattern of racketeering activity" is committing two or more crimes. An "enterprise"
includes any individual, partnership, corporation, association, or
other legal entity, and any union or group of individuals associated
in fact although not a legal entity
18 USC 1962(c), for example, says
It shall be unlawful for any person employed by or associated with any
enterprise engaged in, or the activities of which affect, interstate
or foreign commerce, to conduct or participate, directly or
indirectly, in the conduct of such enterprise’s affairs through a
pattern of racketeering activity or collection of unlawful debt.
The italicized part refers obliquely to the Commerce Clause, and similar expressions are commonly used to give the federal government the authority to outlaw or restrict certain activities, if they have something to do with business. The bold parts draw in what are commonly considered to be "a criminal organization", that is, an "enterprise", which has a "pattern of racketeering behavior".
Theoretically, the above scenario might fall within the ambit of RICO. There is a manual for RICO prosecution, which gives massive amounts of detail. I think the main issue in deciding whether to pursue a given organization is whether the organization seems to be by nature corrupt, as opposed to having some high-ranking corrupt people. There may be other reasons for not prosecuting under RICO.