I’m very sure that the aerodynamic calculations are greatly different between the two games. For example: my 2012 Light Sport Budget / Track Budget coupe has an electronically limited top speed of 200 km/h…
… but in BeamNG.drive, the highest top speed it can reach is only 171 km/h in ideal conditions.
It may be that the aerodynamic design of the car model you are using is prone to lift in the front, causing the front wheels to lose grip and the car to spin out of control at high speeds. There isn’t really anything you can do about this in BeamNG.drive. Hope this info helps somewhat.