I used to have that problem in the past with the Type 8 supersofts, but reported it and I believe it was fixed. Either way here is a trick for you to use. Since it seems you are using a x-port/sharkport to make your hybrids. Edit the fittment lines in the .ini for every vehicle like this:
464=0
468=0
472=0
That is the quick and easy fittment edit, which will give you all the stock parts for that car already purchased, including all the tires even dirt....no matter what car. Yes that will allow any car to race rally as well.
There are alot of pro hybriders out there who don't know how to edit those fittment lines. There are a few tricks that can be accomplished through them, but like I said....that is the easy quick way.