I do drive mine on the street, and I have drag radials on the rear (so I need radials up front). The Goodyears shown are are for use with bias play rear tires. I don't like to mix bias ply and radials...did that once, none for me thanks....that gets squirrelly and any speed.
Weight, I think they are about 15lbs (really not that heavy). Safety.....well, the Volkwagon tires (165/80 r15's) I took off the car have been on there since 2002. I race ~3 weakends a month, + street driving...they were rated for 98mph, lol. I believe my new ones are rated for ~120mph -ish. My car trap's close to 130mph, but my friends car (which has the same VW tire) ran 150mph through the lights...no issues.
To be clear, I'm not advocating throwing caution to the wind, I'm just stating what has worked for me. Also, the past 10 ish years our Pro class switched to 1/8 mile, so I'm only going a little over 100mph. I still run 1/4 some, just not as much.