Lieutenant General Glueck was designated a Naval Aviator in May 1976 and reported to Marine Attack Helicopter Squadron (HMA) 169 at Camp Pendleton, California. During this tour he deployed both with HMA-369 to Okinawa, Japan and with Marine Medium Helicopter Squadron-265. In February 1980 he was reassigned as a Primary Flight Instructor at Training Squadron Three, NAS Whiting Field, Milton, Florida. In July 1983, Lieutenant General Glueck reported to Marine Helicopter One (HMX-1) at Quantico, Virginia where he was designated a Presidential Command Pilot.
Following Marine Corps Command and Staff College in August 1987, Lieutenant General Glueck was assigned to Okinawa, Japan for duty as Air Officer with the Special Operations Training Group, III Marine Expeditionary Force. In June 1989, Lieutenant General Glueck reported as Executive Officer for Marine Light/Attack Helicopter Squadron-269, MCAS New River, North Carolina. In June 1990, he was reassigned as Executive Officer for Marine Medium Helicopter Squadron-365 (HMM-365) participating in Operations Desert Shield and Desert Storm. In June 1991, Lieutenant General Glueck assumed command of HMM-365 and deployed in support of Operation Provide Promise in the Balkans.
Lieutenant General Glueck relinquished command in February 1993 and attended NATO Defense College in Rome, Italy. He was subsequently assigned to Allied Forces Southern Europe as Amphibious Planner in February 1994. In February 1997, Lieutenant General Glueck reported to Headquarters Marine Corps, Programs and Resources. In August 1998, he assumed command of the 26th Marine Expeditionary Unit and deployed for Landing Forces Sixth Fleet deployments 2-99 and 3-00. His units participated in the NATO bombing campaign (Noble Anvil), provided security to refugee camps in Albania (JTF Shining Hope), conducted peace support operations in Kosovo (Joint Guardian), and provided disaster relief following the earthquake in Turkey (Avid Response).
In June 2001, Lieutenant General Glueck reported to Marine Corps Combat Development Command as Director, Expeditionary Force Development Center in Quantico, Virginia. In July 2003, he served as the Commanding General, 3d Marine Expeditionary Brigade and Deputy Commanding General, III Marine Expeditionary Force in Okinawa, Japan, participating in tsunami relief efforts with CTF-536 and FHA and disaster relief efforts in the Philippines as Commander JTF-535.
In April 2005, Lieutenant General Glueck served as the Chief of Staff, United States Southern Command. In June 2006, he assumed command of the 2d Marine Aircraft Wing, II MEF at MCAS Cherry Point, North Carolina. In April 2008, Lieutenant General Glueck was designated the Chief of Staff for Multi-National Force Iraq in Baghdad. In August 2009, he reported to U.S. Africa Command where he served as Director of Operations and Logistics until 1 January 2011. In January 2011, he reported to Okinawa Japan where he assumed command of III Marine Expeditionary Force and U.S. Marine Forces Japan. In March 2011, he also commanded JTF-505 in support of Operation Tomodachi. Lieutenant General Glueck assumed command of Marine Corps Combat Development Command on 8 August 2013.
Lieutenant General Glueck holds a Bachelor of Science degree from MacMurray College, Jacksonville, Illinois and a Master of Science degree in Business Management from Troy State University, Alabama.