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Drag is insignificant compared to brakes, unless you're going very very fast.

if that were the case, cars would just casually accelerate up to near Mach 1 without any issue.

No, because the engine is also insignificant compared to the brakes. A SUV might have brakes (briefly) capable of 900 HP of power absorption

If a car has its brakes on, it'll be extremely hard to accelerate. The brakes create more movement resistance than air resistance does.

If a car has its brakes on, it'll be extremely hard to accelerate

It should be impossible to accelerate. None but maybe the most high-output engines should have enough power to overcome the car’s brakes. Aerodynamic drag is not quite a rounding error, but I don’t imagine it counts for a whole lot in this scenario in comparison.

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