Furthermore, that chart is likely computed via a direct Hohmann transfer, which is one of the most efficient transfer maneuvers available. It also will take a lot longer.
For practical human travel to destinations farther way, you need to perform the so called "star wars maneuver", which is going essentially from A to B in a more or less straight line, which will cost a LOT of delta V.
True, but we could throw the big ship with all the supplies into a flight path that gains a lot of momentum around the inner planets and intercept it with a much smaller craft only loaded with enough fuel to get the astronauts to the transit ship (and back, if necessary).
It's at least 13 months to get to Jupiter for a probe, and reasonably much longer for a man-rated craft.
Mars is the next step in humanity's long term (hundred of thousands of years) survival. If we ever intend not to be at the mercy of gravity, we have to get off earth. We've been to the moon, which is gravitationally constrained to earth, and is only a three day journey (with many chances for safe aborts). We've conquered LEO and now know more about our planet than we could have dreamed up 20 years ago. Mars is a completely different challenge, and by going to Mars we'll develop the first bits of technology that will help us off our deathtrap of a cradle.
These two missions can coexist. We haven't developed the technology to send humans that far out into the solar system so we should continue to send probes.