Probably going to be awhile. The racing batteries are $1000+, so roughly 10 times what a lead-acid cost. As price comes down/demand increases, I suspect we'll see more of them.
Also, while I didn't see it mentioned as a factor, I'm pretty sure lithiums don't generally tolerate decreased voltage in terms of discharge. They have low voltage cutoffs to ensure there are no problems, but in an auto (even worse in deep cycle apps), I can see that being an issue if you listen to the radio for a bit, or leave headlights on, then try and start it, and voltage dips below the cutoff.
Edit: as to safety, lithiums have problems, but so do lead acid batteries. A few years back Boeing had issues with lithiums in their planes. Done correctly, they shouldn't be an issue IMO.