Is it wise to push a 7 1/4?

I have been putting on a few miles on my dart lately and there are friday night track days near me, and I'm planning on going this friday. I want to take my dart out to just see what it will run with the new 360. Only problem is it still has the 7 1/4 rear end in it...I'm still putting together the new 8 3/4.

I have about 400HP with the new motor, but street tires so less traction. I have given it a few blasts on the street but never from a stop, I've always stepped on it going about 10mph, nothing has broken...yet.

I guess I'm mainly asking how weak are the 7 1/4 really? Think it'll survive if I ease onto the gas off the line?