Well, they're both great knives.
But, it is sort of like comparing apples and oranges.
The Buck Strider is BIG, thick, and heavy. But, it is also super tough. The 710 is one of the most highly recommended production knives, and has one of the strongest locks available.
Cpirtle is right - it depends on what you're going to do with it.
IMHO, the 710 will probably outcut the Buck. But, the Buck could probably take abuse that would break a 710.
Not that it matters, but I think ATS-34 is actually the Japanese equivalent of the American 154CM (which went out of production for a while for some reason). The wierd thing is that 154CM and ATS-34 seem to be slightly different alloys, with different composistion. From my experience, ATS-34 and 154CM behave exactly the same. I don't think many people could tell the difference between the two, without the aid of some serious scientific equipment.
You really can't lose with either knife. Both are great.
-- Rob