Unfortunately, the longer you spend in space outside earth's nice, sexy magnetosphere-- the more likely you are to go blind and sterile, and develop all sorts of nasty cancers as a result of high energy solar radiation exposure.
Putting sufficient shielding on an ion driven space vehicle intended for humans, to make the trip safe given the long mission time it would take to use an ion engine to get to Mars, would totally negate the savings in fuel costs. (and then some.)
Putting enough shielding on to be reasonably safe when using chemical rockets is already a serious budgetary and engineering hurdle that makes a manned mission to mars quite bothersome indeed. Anything dense enough to effectively absorb the solar particles and hold onto them, is also dense enough that it weighs epic craptons, making the orbiting of a vehicle with sufficient amounts of such shielding, VERY VERY VERY expensive.
Some engineers and Mars enthusiasts have suggesting putting a very large electromagnet and a small fission power plant on board to substitute, or reduce the need for mechanical radiation shielding, but then that runs into issues and complications with nuclear non-proliferation treaties left over from the cold war. It's basically illegal to put a fission reactor into orbit. This also makes it troublesome if you want to make REAL use of an ion thruster type engine, as without a fission power supply to drive the ionic accelerator grate with, you have to use solar energy-- and solar energy density per cubic meter of collector surface drops with the inverse cube of distance from the sun.
All these fun things have conspired to make a VERY nasty pickle for mission planners, aerospace engineers, and material scientists, trying to work on a way to get people to mars safely, without them developing leukemia shortly after arrival.