Would you take your car on a trip? DD it to work.. Drive to the different tacks, and then back home?
With a 2spd auto the rules state you can not compete in a street class, so it's no longer a street car..
Be realist!!
My Impala came with a powerglide, as did a lot of the 60's cars - I guess you wouldn't consider them street cars? I've driven mine to the track in Montgomery and back just fine with the powerglide.
"Racing is life. Anything before or after is just waiting." - Steve McQueen