Bachelart began racing in Belgium, where he established himself as a star of Belgian Procar, a national touring car championship in which he drove for Audi and Peugeot. He became one of the series' most prominent competitors, and Belgian Procar remained a recurring commitment throughout the early part of his American career, which he ran in parallel with his North American schedule.
In 1991, Bachelart moved to the United States and won the inaugural Indy Lights championship, becoming the first ever champion of the series. He then entered a near-full CART season with the tail-end Dale Coyne team while continuing to race in Belgian Procar. His highest CART finish was seventh. He failed to qualify for the 1993 Indianapolis 500. Bachelart raced in CART when his Belgian Procar commitments permitted through the 1995 season, after which he ended his single-seater driving career.
In 1996, Bachelart competed at the 24 Hours of Le Mans as part of a Belgian entry, driving a Ferrari 333SP. The same year he also raced in the 24 Hours of Spa-Francorchamps in a Peugeot 806 multi-purpose vehicle. He made further appearances at Spa in 1998 and 2000 before retiring from competitive driving.
Bachelart founded Conquest Racing in 1997, initially entering the Indy Lights championship. The team graduated to the Indy Racing League in 2002 with Laurent Redon as its driver. When Honda and Toyota switched their engine supply to the IRL, Conquest followed the established teams by moving to Champ Car. Mario Haberfeld drove for the team in 2003.
Tiago Monteiro, later a Formula One driver, raced in a satellite operation connected to Conquest Racing and run in partnership with Emerson Fittipaldi. Justin Wilson, the English driver, joined the main team for the 2004 season, with Nelson Philippe taking over from mid-season. For 2005, Philippe was paired with Andrew Ranger in what was described as one of the youngest driver combinations in the championship's history. Dutchman Charles Zwolsman joined Ranger for 2006. In 2007, Bachelart signed New Zealander Matt Halliday for four races before Jan Heylen stepped in as replacement.
After the unification of Champ Car and the IRL into a single IndyCar Series, Conquest Racing made the transition to the merged championship.
In 2012, Conquest left IndyCar and moved into sportscars, joining the American Le Mans Series with a Morgan-Nissan LMP2 prototype. From 2017, Bachelart entered the Ferrari Challenge series and won multiple championships with gentleman drivers. In 2018, he co-founded Quest Racing to compete in the IMSA Continental Tire SportsCar Challenge. In 2019, Conquest also entered the IMSA Prototype Challenge, and in 2021 ran a Mercedes GT4 that won the final four races of the season.
As the first Indy Lights champion and subsequently a long-serving team owner, Bachelart occupies a distinctive position in North American motorsport history. Conquest Racing developed and fielded numerous drivers across multiple series over more than two decades, including those who progressed to Formula One, establishing Bachelart as a significant figure in the pathway from North American feeder series to the top level of the sport.