If you use pastels and enjoy them that is great, I don't want to try and change anyone's mind but they are not the same as quality pigments. Yes they do their job well and can be effective but they don't have the same ability as quality pigments. You are not going to make pigments from pastel chalk, you are going to make ground up chalk dust. You can probably get the effect you want, but they are not the same at all.
As mentioned, there is a binder in MIG brand pigments that no other pigment has (nor pastels). Well except for the AK Interactive new pigments but that makes perfect sense considering it's Mig Jimenez's new company, he knows the secret ingredient.
As far as getting it into the tread of a tire simply slosh it on thickly, let it dry and wipe it off the surface leaving it in the tread pattern. To be perfectly honest though, you could probably get this effect much better with a 'buff' colored oil paint. It would also hold up much better than chalk in the long run as well.