WASHINGTON — The widening Secret Service prostitution scandal has touched off a delicate dance in Washington.

From President Barack Obama on down, people are loath to criticize an agency whose employees are trained to take a bullet for others.

“The Secret Service, these guys are incredible. They protect me. They protect Michelle. They protect the girls,” Obama said Tuesday on NBC’s “Late Night with Jimmy Fallon.”

“A couple of knuckleheads shouldn’t detract from what they do.”

Members of Congress pressing for the juicy stories risk reviving — or having revealed — some of their own.

Yet all parties claim to want the truth about the extent of sworn officers working for one of the nation’s premier law enforcement agencies hiring Colombian sex workers ahead of Obama’s visit there, and whether national security might have been compromised.

Spinning the facts as they emerge poses more risk. The Secret Service and the military are supposed to be above politics, dedicated to protecting presidents, their families and the nation.

“Sure, it creates a problem for President Obama. It adds to the sense that Washington is broken. But if the Republicans try to make this a point in their arguments, they are making a big mistake,” GOP strategist Karl Rove said on “Fox News Sunday.”

A dozen Secret Service personnel and 12 military enlistees preparing for Obama’s visit to Cartagena are being investigated for cavorting with prostitutes. Six Secret Service agents have been let go over the incident, and on Monday, Defense Secretary Leon Panetta said his department has suspended the security clearances of the military personnel being investigated.

As many as 20 prostitutes were involved with the group, officials said. None are believed to be underage.

The incident came to light after one of the prostitutes argued with a Secret Service agent over her payment in a hallway of the Caribe Hotel.

Local law enforcement intervened on the prostitute’s behalf. Paid sex is legal in Cartagena but violates codes of conduct for U.S. personnel who were working there.

Secret Service Director Mark Sullivan launched an investigation and requested an independent probe by the Homeland Security Department’s inspector general.

Sullivan ousted some of those implicated and, perhaps as importantly, he briefed key members of Congress, who left no doubt they would hold public hearings should they find his investigation insufficient.

For now, there is no complaint about the swift pace of the fallout or Sullivan’s thoroughness. But there has been much discretion, strategic question-asking and even notable silence from some members of Congress, uncharacteristic restraint in an election year sizzling with gender politics.

For any president, a Secret Service scandal creates discomfort. Members of the agency’s elite protective service help the first family feel safe in the public glare.

It is a fairly intimate relationship, first lady Michelle Obama told members of the Secret Service last year.

She, the president and their daughters playfully argued at the dinner table over their favorite agents, she said.

“We love our detail,” Mrs. Obama told the U.S. Secret Service employees in October. “For us, it’s like having family around.”