I took a geology course 2 years ago. The textbook had one of these full page inserts explaining that the scientific facts are that american asbestos has never caused any harm whatsoever and that all the money spent on asbestos removal had been wasted.
I kept waiting for the public announcement.....like the 9/11 commission though it seems to be headed for a coverup.
ohhhhh hooey.
Just take an old clothes iron to the tiles (I'd say heat gun but unless you're experienced, NO), heat them up to loosen the glue and a scraper and take them up. Were a dust mask but not because of the asbestos. Then put down a new 1/8" thick under layment (I still say 'Masonite') over the sub flooring and then have your new carpet installed.
BTW, I assume your siding is "Masonite", their website has a bunch of stuff on the siding lawsuits. But guess what, as I recall from their website, it's still ok to use it in Europe. How about them apples. The green euro-weenies haven't bought into the Masonite asbestos baloney.
Of course, federal law prohibited me from getting carpet over the tile because it was asbestos. I was screwed because of junk science and lawyers.
Soooo... Put down the glue on carpet pieces. You can make interesting patterns with them. Do it yourself. See Lowes....