I found this geometry chart: http://www.javbike.com/Geometry.html which states that the Seat Tube angle is 74.5 degrees. That might be close enough to reasonably convert it, especially if you have an adjustable seatpost that allows for forward (TT) and back (road) positions.
That's not as steep as many Tri/TT bikes, which at 78 degrees is generally too steep to set up a well-handling road bike.
You may be surprised how expensive will be to convert it to a road cockpit... but I don't know how much 9-speed dura ace shifters cost these days. I am not an expert on Shimano compatibility, but I believe that only dura ace will work. You couldn't use 105 or ultegra.
ibrosis with C
Learn More about CF here: www.cff.org