Have you tried using Calibre? It's a sort of iTunes for ebooks. I'd think it should be able to handle the Kindle fire. I had to tweek my version to access my original Kindle keyboard.
That's if you're only accessing ebooks though. Other files...? Meh.
I've no idea if it's available for Amazon's version of Android but there's an Android App called Wifi File Transfer
which turns your device/tablet/phone into a file server. When it's connected to your home wifi router and activated via the "start" button in the App, you just point your laptop/desktop browser (connected to the same router obviously) to 192.168.0.n:1234 or whatever is indicated by the App to let you access all the files from your browser. Loads easier than sorting out cables and drivers.