You're rationalizing this trip. Even if you're cooking in the room, using tickets you already have, you cannot afford it, even if it is a rock-bottom price. And you said you have tickets for the kids already; doesn't that mean you're going to need to buy adult tickets? You know you're going to end up spending some money on Disney. The fact is you can stay home cheaper than you can go, and if you're looking at the possibility of losing your house, you MUST make the cheapest choice, even if you don't like it.
Look at it from the other side, the unpopular side: You have two months left before the trip. How much FREE MONEY could you make if you rent your
DVC out to someone else? Can you sell the airline tickets? (The bffs -- if they're really bffs -- will understand that you're in a difficult position.) You have some Disney tickets? Sell them on eBay. Yes, you'll probably take a loss on these things, but when you're looking at losing your house, you can't hold onto these things! They'll sell better than antiques, and they'll be FREE MONEY in your pocket right now.
What else do you have that can go on eBay? New, unopened items can be sold as Christmas gifts. How about a yard sale? Around here churches are always having consignment sales in which you can sell your kids used clothing for a decent amount.
Again, you might say, "Oh, but we don't want to take a loss!" Again, keep it in perspective: Take a loss on those things, or lose the house.
The work-issued cells are enough; if you have a house phone too, drop that.
Basic cable without movie channels is still a luxury; until you're out of trouble, it needs to be dropped.
Most people can cut something off their grocery bill. Eliminate meat a couple nights a week. A $1 bag of dried beans can be the main dish for TWO meals; add some cornbread, and you have what we Southerners consider a good meal. Casseroles are very cheap to make. Try powdered milk, at least for baking. Do you have a discount bread store? The prices are amazing; I can buy 3 loaves of bread (and it isn't old or anything) for $1.50. Look at your beverages; most people spend 30% of their grocery bill on beverages, and most of them do not add any nutrition to the family table.
Have you watched that granny on U-tube who teaches you to make depression-era meals? Seek out non-grocery store places to buy food; I shop at a salvage store and a food auction; I never really know what I'm going to find, but there's always something that my family would like. I can reguarly find meat for under $2, GIANT bags of cereal for $2, and french fries 10 lbs/$1.50. The grocery stores charge more for the convenience of having everything in one place.
I assume you're brown bagging your lunch? What else can you do to save at work? Do you buy sodas from the machine at 75 cents each? If so, buy 12-packs and bring your own to work.
You're taking a great step by getting rid of one car. We only had one car for the first three years of our marriage, and it's amazing how much money that plan saves! It really hurt when our work needs changed, and we were forced to add another car. When we retire, we'll definitely drop to one car again.
Read the book The Tightwad Gazette -- it's at the library. It'll give you LOADS of ideas that'll help you save money. Some of them won't apply to you, but a whole bunch of them will help you.
What's your back-up plan if you lose the house? Where are you going? If you say that any of these options are "too extreme", think about that back-up plan.