Best thing is to set up a Windows 2003 server running Terminal Services and connect to that from your miggy.
The Amiga is not and will never be capable of keeping up; especially when Internet is on the verge of upgrading itself to IP6 and Internet 2.0/Ajax all that sort of stuff...
The Amizilla is a nice project; if it ever comes from the ground, and it will probably need quite a punch cpu wise to keep up with java/flash/shockwave and fullmotion video some sites use nowadays.
Sorry for being cinical; but I've been on the Amiga side of things when Internet went mainstream; and it was one of the reason for me to go x86 all those years back.
It was nice having fast cable connection; but my A2065 could hardly keep up. Apart from the fact me not being able to do half of what I wanted on the Amiga. Wish they had ported Netscape way back then....