I'd be more worried about how much force the structure can actually take - is it stiff enough to hold together if you strap a big rocket to the back and turn it on?
http://www.space.com/4432-nasa-weighs-excessive-vibrations-s...
Delta-V Earth/Mars is 5,748 m/s, says http://www.projectrho.com/public_html/rocket/appmissiontable... .
That's 3.5 days of boost.
The ISS mass is 419,455 kg. The minimum energy needed is 1/2 m v^2 or 7E12 J.
A Saturn V is about 1E11J, says http://www.ocean.washington.edu/courses/envir215/energynumbe... .
So if you attach a few score Saturn Vs to ISS, you might be able to pull it off.
iss_mass = 419600
sep_isp = 4190
delta_v = 5748
htv_payload = 3310
falcon_launch_cost = 62000000
total_mass = iss_mass * math.exp(delta_v / (9.8 * sep_isp))
fuel_load = total_mass - iss_mass
dragon_launches = math.floor(fuel_load / htv_payload)
total_cost = dragon_launches * falcon_launch_cost
I get: Total vehicle mass: 482,646.89 kg
Fuel to add: 63,046.89 kg
Dragon 2 launches: 19
Total cost: $1,178,000,000.00
Not what you'd call cheap but at least in the realm of the possible. I'm assuming the ISS' solar panels (~120 kW [1]) is sufficient to power the thruster, that a dragon launch costs no more than a falcon launch (certainly false), and that the ion engine is already on board the station. [0] https://en.wikipedia.org/wiki/NEXT_(ion_thruster)
[1] https://en.wikipedia.org/wiki/Electrical_system_of_the_International_Space_StationThe station mass is 419,455 kg. F = ma so the acceleration is 1 µ G.
It will take a very long time to get to Mars that way.
http://www.wolframalpha.com/input/?i=acceleration+formula&ra...
The next version of the Dragon will dock with the station by it self just like the Soyuz does.