Patriotic Americans who love their nation and care about its well being may serve in the armed forces. We don't have to be in agreement with all of its policies but then we should remember that there were Christian soldiers in the Roman army who prayed for its success in battle and when God sent rain to confound their enemies the emperor Severus was more favorably inclined towards the Christians and there was an abatement in the persecutions for a time.
None of that has any parallel to the iniquitous manifestations of the U.S. military who, paradoxically, ask St. Philip Neri to watch over them and guide them. Individual faithful Catholics might be saved (there are stories about indicidual Catholics getting help from God in every U.S. war campaign) but that doesn't mean the military as a whole will receive God's favor. Look what happened to the Roman Empire. Extinct. That includes the Roman army. They were not in God's favor. If the U.S. military succeeds in a campaign, it's not because God favored them, especially when iniquity is being spread. The world follows Satan, and many of his followers will win many battles and wars before Christ returns again.
And as I previously stated, only the Catholic Church can deem a patron saint to a group of people. St. Philip Neri isn't truly a patron saint of U.S. Special Forces, even if they adopt him as a surrogate. Also, to say St. Philip Neri will intercede for them upon their request is like saying Jeffrey Dahmer's "prayers" will be heard by God and saints will intercede for him, all while Dahmer remains entrenched in evil behavior and deeds. Dahmer is an appropriate personification of the U.S. military. They're essentially sodomites who are serial killers. They promote and protect sodomy, and they serially murder countless people. Wars based on pretexts are immoral. It's murder.