Phoenix is the new name for Firestone slicks since about 8 years ago. My understanding is they are the same compounds as Firestone.
They are very popular with class racers- in the stock and superstock classes. I used to run these on a street/ strip bracket car. *Excellent* tires. They hooked when the cords were showing! Been 1.46 60' time on 9" Phoenix on a 3500+lb street/strip car.
I have never heard anything bad about them at all. What exactly have you heard? Also, you might want to ask questions regarding these tires on a stock/ superstock or drag racing forum where more users have experience in their use.
The car I'm building is a striped down 1970 Cuda (The car was built Pro Stock in the 70s) I'm looking for a slick for a 2900 lb Modified drag car running approx 1200 horse. The car can fit a 32x14 inch slick. Phoenix measures favorably on the section width (16.5") which is close to the max the Cuda's wheelwells will allow. From this 16.5" sidewall width Phoenix makes a tire with a 14.2" tread width. This is the widest tread width inside a 16.5" overall width I've seen (including Good Year, Hoosier, Mickey Thompson and MMH Racemasters) Can Phoenix hold up in a sub 9 second car?
At the Phoenix website, Phoenix says they has dealt with all manufacturing problems that they had in the past (I'm wondering if they are referring to Firestone's problems)