Notwithstanding how poorly written that email is; having been involved in University skydiving in the UK for a number of years I have a few specific recommendations:
Firstly, you need to ask the University for the specific risk management policies which prohibit skydiving as a sport. I'm not sure if there's a distinction between the Athletic Union and the Student Union in US universities, but you'll generally be much better off going through a sports department than otherwise.
Secondly, you need to prepare a comprehensive risk assessment. Get in touch with the dropzone you plan to use and ask for theirs; then fill out a copy of your universities standard risk assessment form (I can send you a copy of ours, but it's designed for the UK legal environment so it may be useless to you)
You'll also need to emphasize that all of the liability is held by the dropzone and the USPA rather than the university.
I would just go ahead and start the club... You don't need to be a university organization to get a few people together to go skydiving; and when you have ten people who are asking for recognition as a club they'll have a lot harder time denying your request.
And as someone already mentioned: It's a lot easier to beg forgiveness than ask permission!
Good luck!