Of course you could just go to Annenberg Public Policy Center and check out the poll results instead reading the biased article:
http://www.annenbergpublicpolicycenter.org/

From survey mentioned by news article:
“The military clearly likes President George W. Bush better than Senator John Kerry, and strongly believes in its mission in Iraq and his handling of it,” said Adam Clymer, political director of the survey. “Sixty-three percent of the military sample, compared to only 41 percent of
the public generally, approves of Bush’s handling of Iraq.”
“But the military, without focusing on Bush himself, also has serious doubts about how the war has been managed,” he said. “This is hardly surprising; there is a long tradition, going back at least to the Trojan War, of griping about the brass.”
...
[ This is also interesting: ]
"Fifteen percent of the service members said the most unsatisfactory thing about military life was being away from family, and another 4 percent cited frequent deployments. Eleven percent said low pay was the worst problem, 6 percent said the public’s attitude toward the military was, 5 percent cited the military bureaucracy, 4 percent cited too heavy a work schedule, and 4 percent cited being in Iraq or risking death."

From the survey released one day eariler:
"One consistent Bush disadvantage with the general public, being considered “reckless,” turned against Kerry in the military. Forty-seven percent of the military sample said the term fit Kerry better, while 37 percent chose Bush. In the general public, 46 percent said the term fit Bush better, while 30 percent chose Kerry.

The military sample also held Kerry’s anti-Vietnam war activities against him more deeply than did the general public. Seventy-six percent of the military sample said they had seen, heard or read about those statements and half of that group said they strongly disapproved. In the general public, 52 percent said they know of those statements, and a third of them strongly disapproved.

The military also gave a positive balance of opinion to Vice President Dick Cheney while the general public was negative. Fifty-four percent of the military sample had a favorable opinion of
Cheney, while 28 percent had an unfavorable view. In the general public, 34 percent were favorable and 41 percent unfavorable.
Two members of Bush’s cabinet also drew positive balances from the military sample. (The general population was not asked about them.) Fifty-three percent said they had a favorable opinion of Donald H. Rumsfeld, secretary of defense, while 24 percent said they had an
unfavorable view.

But the strongest rating of all went to Colin Powell, secretary of state. Eighty percent of the military sample had a favorable opinion of him. Only 7 percent had an unfavorable view.