Have the asphalt grindings been processed (crushed and screened) or is the material straight from the mill and stockpiled without being processed?
With the processed material, usually the top screen size is either 1/2" or most likely 3/8" and this does not make for a good base material, there is not enough larger aggregate in the composition.
If the material came straight from the mill, the material will be too inconsistent. You can get large chunks as well as the fines. Also, if the milled material was stockpiled, the heat can bind the millings back together and then you can get even larger chunks, that do not break down easily.
It sounds like your client is trying to save money, where I am from in the Eastern US, millings, when we do sell them (we typically use them for RAP in our asphalt plants), are half the price of a good base material. Trying to manipulate the material as Ron has stated may work, but it will be a lot of work and in the end would likely be more costly and as stated above, hard to get repeatability. Also, the reclaimer used to for this type of work really is not set up for a small lot.
As for thickness, again as Ron stated, you will need to do some analysis of the pavement loads and I might add you will also need to know the underlying material's CBR value.