z-index is not reliable with position:fixed, as shown in this fiddle: http://jsfiddle.net/mZMkE/2/ use translateZ transformation instead.
transform:translateZ(1px);
on your page elements.
EDIT:
In your code,
Add this css:
.bla, .projects, .contact {
-webkit-transform:translateZ(1px);
-moz-transform:translateZ(1px);
-o-transform:translateZ(1px);
transform:translateZ(1px);
}
and then remove z-index refs from those elements and .intro.