The AR platform is a 3 MOA platform, not that it will only shoot 3 MOA. The Sig's, Colts, and Smiths are AR platforms.
The 3 MOA is in reference to the standard military issue platform and capability of the basic skills shooter of the military platform. The Sig's, Colts, and Smiths are AR platforms based upon the military platform.
As for the term "Modern Sporting Rifle" applied - a short definiton is:
The term "Modern Sporting Rifle" is a marketing term for use distinction preception in relation to application, not a seperate distinct class of AR platform firearm.
The term "Modern Sporting Rifle" is a term put forth, and a campaign, by the National Shooting Sports Foundation (NSSF). Their more complete rationale and "definition" for the term can be read here >
Facts | Modern Sporting Rifle
There are really only four major differences between the civilian version and the military version in reference to the term "Modern Sporting Rifle" :
• The "AR" stands for ArmaLite rifle, after the company that developed the original platform in the 1950s. "AR" does NOT stand for "assault rifle" or "automatic rifle." The military uses an 'M' designation for their firearms (e.g. M-16A2, M-4, etc...). Civilian versions are designated "AR-15" generically as a class of firearms and not a specific firearm type as the military 'M' designation.
• AR rifles sold to the civilian market are NOT "assault weapons" or "assault rifles." An assault rifle is or has fully automatic (or has automatic type fire such as three round burst) capability available with a single trigger pull. The AR version sold to the civilian market are semi-auto only like other sporting firearms and fires one round with each trigger pull. Civilian versions are no more powerful than other classes of semi-auto platforms used for sporting purposes.
• Chamberings for a variety of different calibers are available for the civilian version where the military only models uses one caliber chambering.
• The AR platform is modular allowing owners to change uppers or lowers. (Actually though the military version is modular too, its just that the military doesn't allow these things to be changed at will like owners of the civilain version can do.)
Due to these differences, the civilian AR platform is on par with other types and styles of semi-auto platforms used for sporting purposes in civilian market and ownership, thus the campaign by NSSF to distinguish between the military and civilian versions by using the term "Modern Sporting Rifle". The term is intended to get away from and counter the falsely emotional and uneducated based preception stigma used by anti-gun groups that the civilian AR version is also a military type assault rifle simply because it follows the same basics of style. The term "Modern Sporting Rifle" for the civilian AR platform is also intended for public education purposes in respect to the differences. Thus enters the "use distinction preception in relation to application" part of the short definition of "Modern Sporting Rifle"
Basic design, engineering, structure, style, operation, parts, manufacturer methods and materials remain essentially the same between the civilian "AR" model designation and the military "M" model designation except for those things which are intended for military only models.
The Sig's, Colts, S&W, are all AR platforms derived from and adhering in some manner to military/mil-spec standards and/or style and have changes or features which are more attractive or applicapable to the civilian market but do not include military only model function or parts. When the term "Modern Sporting Rifle" is applied to them its marketing and not a seperate type of new firearm class that magically appeared.