jQuery mobile as the "unified" option

jQuery mobile as the "unified" option

We are building a web application that shows things like statistics and graphs (simple stuff).
 
Evolution 1: We started with jQuery + PHP + MySQL first in the general Ajax style.
 
Evolution 2: We realized that we are better off using a third party table ( http://datatables.net/) and the Widgets from jQuery-UI.
 
Evolution 3: (We realized that mobile version of the site is a must have and started exploring jQuery-mobile).
 
There are two arguments right now - have one codebase for regular desktop browser, and one codebase for all the mobiles supported by jQuery mobile app.
 
Now here is my question - when I browse the jQuery-mobile documentation, all the pages show well in all the latest browsers of my lapton (FF/IE/Chrome) though I am NOT using a mobile. This of course may not work for older versions of the browsers but I am fine with it as this is a forward looking app and the minimalistic HTML 5 used by jQuery-mobile seems good for desktop web browsers too.
 
Can I bet on this as a right approach before I realize something too late in the game?