No way to open the profile menu to access any item in there, and found no other route to work around.
We tested it on android and iphone and you should be able to activate the dropdown by clicking on the arrow. Then you can click the logout link.
Please let me know if I am missing what you are reporting.
I don't know which Android youguys are testing, but I'm on 2.3 with stock browser.
No matter how i click the profile icon at the top, I'm taken to the profile page.
No way to click only the arrow, no way to mouse over (by pressing and dragging) and nothing opens up if i focus that icon with the trackball.
Same on Nokia Lumia (windows8 phone)