really interesting to create parallax with custom post type thank yuo
Just in case anyone needs this in future. I am posting the hack.. Might not be the most optimized way but it works.
I used this plugin to create different menus for each page:http://wordpress.org/plugins/ce-wp-menu-per-page/
So my menu on home page (which has the sections, and is one page) is domain.com | #section1 | #section2 | domain.com/blog
And my menu on blog page has these links: domain.com | domain.com/#section1 | domain.com/#section2 | domain.com/blog
if you have a better solution, please do tell me.