LOL, no snark intended but that is really quite naive thinking.
First, no server is secure from hackers, even the DOD has been compromised.
Second, it would be way too easy to pay some one off on the inside to change and/or replace whatever you wanted to with another file.
Really, you need to rethink your position.
Just as no paper document is secure from forgers. Actually, the typical birth certificate's document security is laughable compared to that of US currency.
With a birth certificate, the ultimate recourse is to check with the alleged issuer to confirm or refute validity. An HTTPS server would reduce that process to a single click. The ability to check with the issuer easily would reduce the likelihood of fraud way below what it is having to rely on a paper document's physical appearance — whether it has a raised seal, whether the issuer's signature stamp looks right, etc. What a joke!
Banks, brokers, and credit card companies all use HTTPS servers successfully. Their rate of fraud is not zero, but it is very low. Way lower than the government's, as Newt likes to point out.
Second, it would be way too easy to pay some one off on the inside to change and/or replace whatever you wanted to with another file.
No easier than it is now.