I'm fairly certain that it doesn't contain asbestos as grinder sparks will set this stuff to smoldering pretty readily. At least the stuff on the firewall and tunnel is that way. I know of at least one Super that went up in flames because of padding catching on fire. If you're talking about the coating on the very bottom of the floor that chips or scrapes off, I doubt that it has asbestos since nothing else in the interior is flame retardant. The heat shields under the car are a different story - definately asbestos. The only thing that I would add to your precautions might be coveralls that get rinsed outside before you bring them in the house. Keep in mind that this is not professional advice - just what I would do.