Yes, It is full tread and DOT legal.
Most guys, especially on here run narrow wheels for a given tire. You don't want a ton of sidewall past the rim. It's bad for handling and it's bad for straight line traction. As you run a wider wheel it flattens the tread surface at any given air pressure.
That hoosier is 10.10" section width in an 8" wheel. So it would certainly work on a 10" wheel. It would just be wider and function better.
I run a 13.10" section width tire on an 11.25" wheel for reference.
