I hate to be a naysayer, but I really doubt that your WiFi router's speed is the issue here... Even 11mb/s is faster than your broadband connection to the Internet, and you're getting good performance with your laptop over the same router, no? Very few of us have more than a 4mb/s or 5mb/s connection to the internet, and even with overhead, 11mb/s can pretty well saturate that link... Use water as an analogy -- even if you upgraded all your garden hoses to fire hoses more water wouldn't come out if your house is still fed by a 1/2" main pipe. Your speed from your laptop to a local server or media-player, etc. will be enhanced, but the connection to the internet is still the choke point for almost all of us. Certainly you should see excellent speed browsing the web over 11mb/s wifi.
It may be that your router and your Droid aren't playing nicely together at one of a variety of levels. There are some wireless network interfaces (especially, but even some wired ones) that just don't work well with some routers/access points, and a new router may actually solve your problem, but maybe not. Without a lot more data about what's happening at the physical and TCP/IP layers it's impossible for us to do more than speculate.
That said, a $22 upgrade to a "G" router seems like a nice investment; I have a "G" router, and really don't feel a need to upgrade to an "N" router. I have wired gigabit ethernet for my server and in my office and for my DVR, the wireless is just for phones and laptops...