This is beyond sketchy. These guys claim to be from National Auto Division, which I believe after checking out their unprofessional website. ("Buying a new car should be a happy time, being that it’s going to be a big, pretty, expensive new addition into your family.") (http://www.nationalautodivision.com/)
They claim to be some kind of generic company (as the name implies) that also provides the original warranty on your vehicle, which is, as far as I can tell from the internet, completely false. Then they push you with a hard sell, trying to get you to give out your credit card number and make an initial deposit. They refused to send me a copy of a contract. Never trust anyone who pressures you to buy immediately from them over the phone, without giving you time to look over a contract! Some excerpts from an advice piece on Edmunds.com (http://www.edmunds.com/auto-warranty/third-party-extended-warranty-scams.html):
"Never give out personal information to someone who contacts you with an auto warranty offer: Don't share your bank account, credit card and Social Security numbers, or even your driver license number or vehicle identification number (VIN)."
"Be wary of fast talkers: Telemarketers pitching auto warranties often use high-pressure tactics to gain the upper hand and get you to buy a warranty that day. A reputable company will let you see a copy of the contract and let you decide on your own time. Ask the vendor to fax or e-mail you the contract and take your time going over it. Don't fall for the "limited-time specials" that many companies claim to have. These pitches are made up to create a false sense of urgency."
At best this is shady business, at worst it's a scam.