Security Question

Make sure you create a separate virtual directory for each project.
In this case Session variables won't be shared between projects.

Do you know if this is possible with a Windows hosting account through GoDaddy.com?

You need to contact GoDaddy support in this regard.
You can also check our hosting service at http://www.inspirunner.com.

I've contacted GoDaddy and am waiting on a reply.
In the meantime, are there any other solutions to this problem?

There is no other solution - this is the way how ASP sessions work.

If that is the case then there is no way to keep 2 projects separate from each other on a GoDaddy hosting account. GoDaddy informed me that there is no way to create separate virtual drives on their hosting accounts.
Just a heads up to all the GoDaddy users out there.
Did you have an answer for my other 2 questions?
"Also, how do I stop people from viewing the Menu page if they aren't logged in?
Last but not least, how do I force a logout when the browser is closed so that if someone forgets to log out the next user can't use their account?"

Also.... Would changing SESSION("UserID") in one project to SESSION("UserID1") and leaving the other the same solve my problem?

OK I've found a solution. If you change the usertype in the DB for one project from "admin" to "admin1" and make the corresponding changes in the login page and commonfunctions page this takes care of the cross admin privileges between projects.