While I have not personally integrated these items. We do use SSO for Webex. We also use the calendar integration with Outlook  

The only way that I am aware that you can recover the chats is if you recorded the meeting. If you recorded the meeting and view it on your org's site you will have a few options. You also cannot copy and paste but you can screen shot the chat. Hope ...

Having SMEs and really know and are comfortable with the various platforms that are included 

This is very cool. Thank you for sharing this!