This trajectory takes about 3 months to travel from Earth to Mars.
Here's orbit diagram:
http://ssd.jpl.nasa.gov/sbdb.cgi?sstr=2007+WD5&orb=1
[linked from NASAWatch].
I don't think the trajectories for the cycler are normally considered that fast, e.g. from your linked article:
"By taking advantage of gravity assist from Earth, and to a lesser extent from Mars, I was able to plot a Cycler orbit with a round-trip period of just 26 months. The Cycler would take only five months to reach Mars, comparable to the fastest transit times that NASA is now considering."

Also the aspect of cyclers is one can routinely use a particular rock or spacecraft as a base- you use a small space to go it, use infrastructure in place, then have small spacecraft depart from it when you near your destination [Mars].

This rock we talking about next gets near earth in 2011 and it doesn't get very close and next one after that is 2016- and it's not very close either.

But one could think of using a rock for a one time purpose. Say you knew of a rock which was going to have an ideal trajectory in say 2025. You send stuff to mine it in the year 2020 and mine and process fuel for 5 years. In 2025 you dock with it, and fill your rocket with fuel in which you will use to decelerate to Mars orbit. In this way one could use chemical fuel to get to Mars in about a month or two. For the party which mining that rock, after it performs it's task of enable a very fast transit for a crew transfer from Earth to Mars, it then uses more fuel or some other means of changing the rock's orbit, so it can this again in 5-10 year.
So instead having one cycler, one have hundreds of rocks which have special "one time" type use.