Oh, there won't be any incentive for rogue-types though, Glassjaw. The average Human Fighter, lowliest of the skill-users, can still pick up Listen, Spot, and Sense Motive when cross-class skills are abolished, all they really need to neutralize their main combat weaknesses.
If they play a Barbarian instead, like anyone who prefers effectiveness for their warrior-types, they'll also be able to pick up Diplomacy and Intimidate, becoming an awesome butt-kicker and faceman where needed. They won't need a Rogue or Bard to handle it. They might also pick up Open Lock, if Intelligence is sufficient, to handle the occasional doorway or container that they can't just demolish (especially after getting an adamantine weapon).
The Cleric can pick up the three big awareness skills too, and will be more awesome with them through high Wisdom, and a Druid could pick up Survival and Diplomacy too, also becoming a good faceman and really, only one person in the group needs Survival (if they're any good at it, they'll be able to consistently provide the whole group with food, water, and shelter on any wilderness trek, with minimal need for trail rations, Create Water, or Create Food & Drink spells).
The Wizard can pick up the three awareness skills too, plus Concentration, Spellcraft, Knowledge (Arcana), Disable Device, and Search. They'll probably skimp on or avoid Listen and Spot, and skimp on Knowledge, but that's no big deal since everyone else in the group will be highly perceptive. Concentration only needs to go up enough to consistently Cast Defensively, too, then its points can be allocated on perception skills.
And that leaves 1 slot open in the typical party, for another brute, archer, blaster, or priest, and they need not skimp at all on their combat effectiveness, since everyone will have decent utility capacity. And a whole lot of classes will go unused (bard, rogue, swashbuckler, etc.) for lack of any need for a skillmonkey, faceman, sneak, or the like. The party will get more use out of having another major buttkicker without the situational usefulness of those other classes. And for some of us, that's not so much of a good thing.