No, the KM3 carries only the M+S rating. You'll find that you probably want a dedicated snowflake rated tire if you need them. However, the two types of winter ratings tend to exclude the other. Snowflake rated tires must have a tread compound that remains flexible below 40 F. Now imagine how that tire would perform in the rocks in Arizona in July at 110 F.
M+S rated tires are generally accepted where there is a winter tire rating required, except for Quebec, which require the Snowflake rating.
A good explanation of this is at:
Mountain/Snowflake Symbol Tires & M+S Tires Explained - The Tires-Easy Blog
Or at:
https://www.tirerack.com/tires/tiretech/techpage.jsp?techid=125
As for noise, for a M+S tire, they're pretty subdued. Keep in mind that very worn tires typically are louder than new ones, regardless of brand.