I too am having a problem with the "menu button" that appears in place of the page navigation on both iPhone and Android devices. I deactivated all plugins to no avail. I have contacted the host provider and they claim using only simple host support with nothing special for mobile devices.
Here's the site: actannapolis.org
The site is working well on iPad and other tablets. Just not phone devices.
Also, my test site actannapolis.info does work correctly!
Thanks so much for any pointers! --Richard