Crossovers are meant to steal the stationwagon/minivan market mainly, not the mudder offroad market. Also as has been pointed out earlier, very few people buy a 100,000 vehicle and go wheeling in it (I won't say none, but it's the exception, not the rule.)
That said, I think the X may surprise a bit in it's capabilities. I can't speak for what the ground clearance will be, but assuming decent, it will have some other inherent advantages.
Someone earlier stated that AWD wasn't good offroad, but before we accept that at face value we have to look at WHY AWD isn't good offroad, and it's mainly due to the limitations of your normal ICE vehicle. AWD involves one engine driving a centre differential which then drives both a front and a rear differential, which then drives the wheels. The end result of this setup is that with even one wheel slipping, all the power goes to that wheel, and you don't go anywhere. Various traction control methods can mitigate that to some extent, however there are limits to that. The X has no centre differential because it has two completely separate motors (something an ICE vehicle could never realistically have) which would put it right off the bat on par with vehicles with either a locking centre differential, or an "old school" four wheel drive with no centre differential (the kind you're not supposed to drive on dry pavement due to the inability to handle corners without the tires "skipping")
Add in a fancy traction control system and the ability to vary the output power of the front and rear axles independently and you could come out with quite the setup...
Now I don't expect it to compete with a lifted truck with big knobby tires and locking diffs all around, but I do think it'll be able to surprise people with what it will be able to do without getting stuck.