The 05 tires have a higher aspect ratio, so they are larger in diameter (& circumference) than the 99 - 04 wheels & tires.
05 Stang 235/55/17 = 27.2" dia.
99-04 - 245/45/17 = 25.7" dia.
You may have interference problems because the wheels will stick in more.
Even if they fit, your handling will most likely be worse because the track will be narrowed, tire tread is narrower, sidewalls are taller and the ride height will be raised by 3/4". Face it, the suspension on a 99 Stang is just not designed & tuned to work with the 05 tires & wheels.
I have still seen 03 - 04 take-offs still kicking around some shops. I haven't checked recently, but not too long ago both GEF Racing and Mustangs Unlimited had some sets of Bullitt take offs.