Rubber bumpered Bs are deathly slow, if left stock, because of the loads of emissions stuff that was bolted on to the engines that sapped horsepower. earlier ones are definitely quicker, but not nearly as fast as a stock Miata. I have a stock (except for a Borla exhaust) '96 Miata, and my father has a mildly uprated '71 MGB. The Mazda is definetly faster than the B, but the MG does not really have any problem keeping up with traffic, and will cruise at 80 without much fuss. The MG engine does not rev nearly as high or as quickly as the Miata, but this is offset by a nice slug of torque right at the bottom of the rev range-to get a similar push in the back from my Mazda, I have to go up to around 5K on the tach. The B starts at like 2K.
Here's the caveat-we have no idea what performance mods were done to the B prior to Dad buying it. The previous owner had installed an uprated cam, and free-er breathing air filters, supposedly bored it out a touch, and the air pump is MIA. Our local old car gurus can't figure out which cam is in there (without a teardown, I presume), but have managed to get timing and carburetion adjusted to suit the cam. It gives a somewhat lumpy idle, but nothing extreme. Gets great gas mileage too. Like I said, not as quick in out and out terms as the Mazda, but no slouch in its own right. Handling is great, very neutral, so I think a B would make a fine beginners autocross car.
-William