Nothing on this page is clickable!
Could you please upload the .Muse file of your linked demo site to Dropbox or a similar file sharing service and provide the download link here. Then we can have a closer look.
It looks like the issue is because of QooQee widget which you have used in your file.
Try removing it and then check if the buttons are clickable or not.
If it works fine then you might be placing the widget incorrectly and need to check with QooQee for its usage.