The mathematics behind these is pretty solid. If others want more information on this, see for example Ronald Rivest. RFC 1321: The MD5 Message-Digest Algorithm. RSA Data Security Inc., April 1992, or Cryptographic hash functions.
That you post with a bit of F.U.D. (scare tactics in the choice of the words "the Multimillion-Dollar ... Gamble", for instance) and with no history or background of yourself or organization, no business model (though there apparently is one), no references and little to go on except an apparent enticement for something "free" that will be scanning my entire computer raises my guard. I'd recommend others be a bit on guard here, until more is known.
Finally, if other readers of this are interested in backup over the internet, I can recommend SystemSafe, by NetMass. I won't leave a link here - you can find it on Google.com if you search. There are likely other good choices in this product category as well.