The fact that you're using a MOBILE browser should give away the fact that you won't be getting the full website. Even in Opera Mini. Facebook.com with chat and all the stuff you see on your desktop is not possible with a mobile browser. Why? Because Facebook uses stylesheets to display the site certain ways depending on the browser and the user agent that the browser reports. Mobile browsers don't identify the same way, thus you will not see the full version on any browser on Android or any mobile OS.
That said, you do have options:
1)
Welcome to Facebook | Facebook - the generic mobile site (this is also what Opera loads). Works a little better than...
2)
Welcome to Facebook | Facebook - designed for touch interface browsers but lacks some functionality.
3) Facebook Android app - also lacks some functionality but works fairly well.