Honestly, I don't know whether it is possible to program an AT89S8253
using the AVRISP mkII or not. You can experiment with the definition
files for AVRStudio (as outlined on the BIPROG webpage), or with avrdude
(see http://www.eproo.de/index.php?page_id=241 ), but I have no idea
wheter this would work out or not.
But, the idea is, that once you have the AVRISP mkII, you can build
yourself the BIPROG - you can build one on a piece of protoboard quite
easily, the instructions are relatively clear and detailed. I have built
it and used for some of my hobby work successfully, that's why I am
recommending it.
You might also want to have a look at Ulrich Bangert's ATMELISP
http://ulrich-bangert.de/html/downloads.html , which uses the signals of
a COM port for the ISP (after having them level-converted between RS-232
levels and 5V logic levels, of course); but if you don't have a "real"
COM port, I doubt it will work satisfactorily on an USB-COM
convertor/cable.
JW