Ideally, do all of your braking before turning the wheels, then release the brake smoothly before or as you turn in, find the apex, then apply the throttle gradually as you exit the turn, only getting full on it when you can travel in a mostly straight line. The slow in, fast out method.
https://www.amazon.com/Lost-High-Performance-Driving-Speed-Secrets-ebook/dp/B0711ZHTXY/
I actually got the Haynes manual for the delorean time machine. There's a reference to this, in that Doc replaces the stock Peugot-Renault-Volvo 130hp 6-cylinder engine with a Porche 928 V8 and converted the transmission into an automatic-manual hybrid.
That 4 bolt main truck is pretty desirable. I'd hang on to it and rebuild it. Get this and you shouldn't have any problem doing it yourself How to Rebuild Your Small-Block Chevy https://www.amazon.com/dp/1557880298/ref=cm_sw_r_apan_glt_i_9GW1DZZ28R65BBK33H9W
He drained the fluids of the car before storing it. Gas goes bad eventually and would have gummed up all the fuel lines in the 75 years it sat there. (Source:https://www.amazon.com/Back-Future-DeLorean-Machine-Workshop/dp/1683836219)
Now what he did with the gas afterward? He must have used it elsewhere because after he repaired the fuel line they tried to run the car off the "strongest stuff" the local bar had and it blew the fuel injection manifold.
This book is what you're looking for. Quality stuff all around for street and track driving.
The Lost Art of High-Performance Driving: How to Get the Most Out of Your Modern Performance Car (Speed Secrets) https://www.amazon.com/dp/B0711ZHTXY/
I don't think there is an audiobook version, unfortunately.
You should purchase a book to help you with this project, I would recommend How to rebuild your small block Chevy https://www.amazon.com/dp/1557880298/ref=cm_sw_r_cp_apa_glt_fabc_MSZHF5Z7SPW4ZN999E5N I see them in used bookstores all the time too.
I love this movie. I have a BTTF T-Shirt and always get positive comments on it every time I wear it.
There is a "Delorean Time Machine: Owner's Workshop Manual" that just came out. It is hardback and is pretty cool. It is made to look like an owner's manual along with detailing how the time machine works with some parts "redacted". It also has "notes" from Doc Brown which detail little missing things from the movie. For example how Doc and Marty met. You can search for it but here is an amazon link to it. It is $27 but worth it for the hardcore fans. https://www.amazon.com/gp/product/1683836219
I've got this book which seems like a pretty awesome and thorough history of the MX-5.
Seems there is a whole book on this car coming out soon. I'll update the wiki article myself once I get a copy.