While I'm on a Mac, it is working for me. Make sure your popup blocker is off. I click on the link for "Booking RCI Destinations Online", then get a popup to acknowledge that I'm leaving
DVC. I do have to select which account since I have 2. Then I get another popup where I have to click to acknowledge that I understand the Terms and Conditions and finally I'm in the site. I then proceed to the exchange options and drill down to a given resort where I would have to acknowledge the exchange conditions to proceed. I stop here to avoid any risk of accidentally committing to anything.