You should be able to access QlikView Server/AccessPoint just fine using the Safari browser or Chrome for Mac via the QlikView Ajax client. There is no Mac specific client, you would need to choose the Ajax client in the AccessPoint in order for things to work properly in this use case. Depending upon how you have the QlikView Web Server resource configured, if the Mac is not sending user credentials, the web server should send back the auth request which would result in a windows auth dialog on the Mac side. If you are using a third party SSO system, that could pose other requirements etc. as well. Best I have for information provided.
Try hitting the Demo site with your Mac and see if you can open anything there, if you can, then the issue is something in the environment preventing things.