Chronology
I hate to have to drive this point home twice, but if the Chinese policy is, in fact, a response to Bush's military space policy (summer of 2005), it would mean they would have had to initiate, design, develop, and deploy this antisatellite system in less than two years.
That is highly unlikely. Far more likely that China has been working on this for some time, and references to work on such programs go back to at least 2000. The recent test was reportedly the fourth attempt over the past two years, which implies an even earlier start to the program.
In short, China's quest for this system was not a response to Bush's announced space policy.