Hello Matthias,
It sounds like you may have use for the Extreme NAC Agent and an assessment implementation. The Extreme NAC Agent should be able to do exactly what you are looking to do.
The Agent has the ability to check into the Microsoft Security Center to determine what AV is running, and the last time it was updated. You can configure the assessment tests to quarantine an end system if they do not have AV, or if it hasn't been updated and the solution also allows you to configure self-remediation so the user is informed of their infractions and can remedy and re-attempt network access once updated.
The NetSight/NAC solution does not currently have an API integration with Kaspersky, so I'm thinking that agent based assessment is the best option.
Thanks
-Ryan