Another positive consideration for running skinny "Pizza Cutter" tires is that every track that I have been to in the past 20 years or so, requires the car to drive through the water box, rather than back in like we used to do years ago. A narrow front tire, with minimal tread, is much less likely to drag a lot of water from the burnout box, up to the starting line, directly in front of your slicks. Not ideal for traction. I liked it better when we would drive around the water box, and then back in, but it does take longer, and unless you have a crew member there to back you in straight, and avoid hitting somebody, or something, it can be tough if you are tightly belted in, and unable to see much.
As for the safety of skinny front tires, I have had the pleasure (?) of sliding around in my own oil at 130 MPH a couple of times, and frankly, I would be more concerned about the thin walled, low air pressure slicks out back, than a narrow front tire with 30 or 40 PSI when it comes to evasive manouvers. As for the front tires themselves, I have used Morosos, M/Ts, and currently have a pair of M&H fronts on my Fairmont. I have found that the M/T fronts tend to wear out much quicker, and hold air poorly, compared to the old style Moroso "Drag Specials". The Morosos were on the Fairmont for about 15 years, and never lost air, even after sitting all winter, while the Mustangs M/Ts needed air added every month or so. And the Morosos still have decent tread depth, where I have worn out 2 pairs of M/Ts in a shorter time period. I have only had the M&Hs on the car for 4 months, but they seem to hold air very well too.