Import android mobile wallet to desktop
There is no easy way to export those keys but its possible. Here's a detailed How-To. Please note that you need to root your phone to get access to your wallet file.

Edit:
I just found another interessting and easier method here, but I didn't tested this one.

Edit 2:


  I would like to be able to manage my funds using my mobile or my desktop - both looking at the same wallet.


If you dont mind using a new private key you could import a private key from your bitcoin desktop wallet, sending your bitcoins to this address for further usage.