All that's left is engineering folks. Is this actually more feasible than having astronauts spend months in low gravity?
We've already basically solved the problems of living in micro-gravity for months. We know how to maintain human health in the environment, at least well enough.
The exposure to cosmic rays and radiation from the sun is possibly a bigger issue, and could be more motivation for speeding up the trip. I think we have reasonable solutions and the increased cancer risk, while serious, isn't enough to make a mars trip unfeasible. But don't actually have practical experience with dealing with that particular hazard.
Laser propulsion seems like a good idea and something worth more research and development.