First post here so please be merciful. 
We need to integrate various applications with Sharepoint 2010. We need to use windows authentication and carry through the users credentials. We have WM 8.02 implemented on Solaris.
We are at the very beginning and are interested in what others have used to do this. It’s hard for me to believe that no one has solved this problem before. At this point, everything is on the table: Open source libraries, Third party packages, custom code, etc.
Anyone who has faced this problem, please respond with your approach.
Thanks