x2
Check the rule book to see how tires affect the class you run in. No point running R comps - the geric name for barely street legal competition tires (BFG R1, V710s, Hoosier A6, Toyo RA1/R888, Old victoracers, Michelin Pilot Sport Cups etc) if they make you or your car not class competitive.
if you are new to AX, some clubs/regions have "rookie" classes that will not allow R comps for example.
The real key to AX is seat time/experience. Once you get "close" to the times of guys in similar cars with R comps, then make the jump and destroy the competition. Depending on the course, R comps will get you between .5-1.5 seconds over street tires.
Also realize you will want a second set of rims for these dedicated tires. Then there are the compromises. Running Hoosiers, R1, V710s on the street is a perhaps questionable to stupid move. Getting a "slower" R comp like the RA1, MPSCs, R888 will allow you to use them on the street and not need to "swap over" for the event. That's a nice touch when its 90+ degrees and humid and you get to sit in your own sweat changing wheels before and after the event.
Then, remember, will be the long threads about
:
1) Alignment
2) Sizes to run (both width and diameter)
3) bringing water bottles to cool the tires in the summer, warmers in the cooler weather
4) tire pressures
5) running spacers
6) sway bar mods
7) how much more should I spend to get the next .2 seconds quicker
Also, iirc, you mentioned doing some DE too. If that's true, you will be told by your instructors to stay on street tires as you progress as a student.
As an instructor, I prefer a student on street tires because the howling helps a person learn the tire limits better and enjoy sliding the car at a lower limit.
As one who does DE and AX, I prefer the "slower" RA1 type tire since it works well in both areas, and is street friendly, and is even rain friendly with a fuller tread.