Prior to the attack, the suspect searched online for pro-Hezbollah news channels and for large gatherings of Israelis in Michigan, the FBI said on Monday.
A hacker group shares Patel's purported resume and photos - information, the FBI says, is "historical in nature".
The former counter-terrorism head resigned on Tuesday over the war with Iran, saying the country posed "no imminent threat" to the US.
Daniel Andreas San Diego is due to be extradited to the USA to face terror-related charges.
Samuel Ramirez Jr had evaded capture since 2023 but was arrested in just over an hour after he was added to the list.
Athletes will visit the FBI academy this weekend to give a seminar on fighting techniques and tactics.
The terminated FBI staffers all participated in a probe into Trump's handling of classified documents after his first term.
The allegations came days after Patel was seen celebrating in Italy with the men's USA hockey team after their Olympics win.
US victims have lost hundreds of thousands of dollars to a gang of UK and Irish nationals, known as The Travelling Conmen.