Well, from my findings, it's just how the car is. I don't know that it's any different for anyone else, but mine handle alright.
*These videos will be deleted once you respond to them. I have the videos uploading to my Google Drive, so they can be accessed for future reference.*
One main thing that I can suggest, without seeing gameplay from you, is to go into settings, under controls, I believe, and enable this:
View attachment 13848
"Enable keyboard speed coupling"
This makes your car's handling depend on your speed with the keyboard. I found that helped me, so I hope it helps you!
(PS: Sorry for the cruddy audio quality, I recorded from my school laptop, not my home laptop.