That page has no special deals on it. I agree, you've been sucked in by the great Disney marketing machine. You have to go to the Special Offers page to get whatever discounts are being offered. The page cited above is just regular prices. The dates though do cross seasons, but the wording says "as low as", so going with the assumption that the lowest price per day is based on value season:
6 nights @ a value during those dates - $82/weeknight, $92/weekend - let's say Sunday through Saturday check-out
($82 x 5) = $410 + ($92 x 1 ) = $502 for lodging
Dining plan for 3 adults and 1 child, as in the example:
Quick-service - $34.99 night adult x 3 adults x 6 nights = $630
$11.99 child x 1 child x 6 nights = $72
Total dining = $702
Tickets - base MYW tickets
7 day MYW adult = $263 x 3 = $789
7 day MYW child = $244
Total tickets = $1033
Total amount = $2237 divided by 7 days let's say = $319 per day
Divided by 4 people = $79/day per person
My example doesn't count taxes and rounds, Disney's example totals to $2480, so I'm sure they are generally the same.
So confirming - no deals to be had there.
A free dining offer (not available right now) would save you $700 over that. Kids play free offer would save you $244 with one child. Room discount of 30% would save you $150.