Starting with kid-karts at age four, Bilicki quickly moved through the ranks and into the next classes. After several years in kid-karts and the Yamaha 100cc engine class, he moved to 80cc Shifter Karts. Bilicki showed his dominance quickly by winning many regional and national races, including the 2008 Road America SKUSA Super-Nationals, which brought competition from across the globe. Several times he even competed against and beat faster 125cc Shifter Karts. In 2011, Bilicki made the jump to 125cc Shifter Karts, and in 2012 Bilicki was recognized and brought on board the Andrew Chase Racing-PCR team, competing in the Midwest Shifter Kart Series in a brand new PCR Shifter Kart.
Sports cars
After racing Shifter Karts at a top level for nearly five years, Bilicki made the transition to sportscars at age fifteen in 2011, beginning with Spec Miata and the Sports Car Club of America. Within his first year of sportscar racing, he proved himself once again by earning two pole positions, four top-five finishing positions, and three podiums. After earning his national racing license in 2012, Bilicki began racing the SCCA Majors Tour and has qualified for the famed SCCA National Championship Runoffs every attempt tried. 2012 also marked his debut in an Area Sportsman Stock Car at a local circle track, Jefferson Speedway. After several successful years of racing Spec Miata nationally, 2015 marked Bilicki's first year of professional sportscar racing in the IMSA Continental Tire Sportscar Challenge. He also raced a Spec Miata in the SCCA U.S. Majors Tour.
Bilicki debuted in the Xfinity Series with Obaika Racing at Road America in 2016. In a blog post, he said that he got his ride by contacting teams that had "TBA" on the entry list the week of the race, and he got a call back from Obaika, offering him a spot. Unfortunately, a crash in qualifying and a dead battery during the race derailed his weekend at his home track, and he finished 38th. Bilicki returned to Obaika Racing, albeit this time in the No. 97, for the Ticket Galaxy 200, his first oval start since 2012. Starting last in the 40-car field, he avoided trouble and worked his way up to 28th position. He continued his stint with Obaika for the Ford EcoBoost 300, staying in the 97 car alongside Ryan Ellis in Obaika's other entry, the No. 77. Bilicki started 37th and finished 34th. Bilicki returned to the No. 77 in 2017, along with other races planned with Obaika. In April, Bilicki announced he would make his Monster Energy NASCAR Cup Series debut in June's Toyota/Save Mart 350 at Sonoma Raceway, driving the No. 51 for Rick Ware Racing. After starting 33rd, he finished 36th. Bilicki also drove an Xfinity Series race at Michigan International Speedway for MBM Motorsports, finishing 27th. He ran another race for Rick Ware Racing in Cup, but it was not the second road course race as planned. Instead, Bilicki made his Monster Energy NASCAR Cup Series oval debut at New Hampshire. Later in the season, he signed a deal to run all three of the Xfinity road courses for B. J. McLeod Motorsports, running the organization's No. 8 entry. After pit road speeding penalties at Watkins Glen and a crash at Mid-Ohio, Bilicki ran down Elliott Sadler in the final green flag run to finish twelfth at his home track, Road America. He continued his relationship with McLeod a couple weeks later, driving the team's flagship No. 78 at Chicagoland Speedway. On February 5, 2018, it was announced that Bilicki would attempt the full Xfinity season for startup team JP Motorsports, bringing with him previous sponsor Prevagen to the No. 45. On February 4, 2019, it was announced that Bilicki would join RSS Racing to pilot the team's No. 38 Chevrolet Camaro for the full 2019 NASCAR Xfinity Series season. In May, he made his NASCAR Gander Outdoors Truck Series debut in the Digital Ally 250 at Kansas Speedway, driving the No. 34 for Reaume Brothers Racing. He also returned to the Monster Energy NASCAR Cup Series in June, driving for Rick Ware Racing at Michigan. Later in the month, he drove Ware's No. 53 at Chicagoland. Before the Kansas Lottery 300 in October, he announced he would drive for B. J. McLeod Motorsports for the remainder of the 2019 season. On May 11, 2020, Bilicki and Tommy Baldwin Racing announced that they would partner for the 2020 Darlington 400.
