Now, I'm sure there's a ton of data that the NSA will be able to break with quantum computing, because people often do transmit data by encrypting it with an asymmetric cipher, e.g. PGP. But... there's already work on quantum-proof asymmetric ciphers.
And TLS uses RSA, so maybe they can crack all the https traffic? Well, assuming today's algorithms are configured correctly, they employ perfect forward secrecy. That means the key exchange algorithms never transmit or store the encryption key, rather an emphemeral encryption key is recreated by both sides. Of course, even with PFS they do get all the metadata and certs when they crack RSA.
It is also provably secure unlike every other cryptosystem.
That's what google did with CECPQ1, they use "new hope" which is a quantum resistant algorithm with traditional methods (X25519). That way if new hope is cracked, they are still using an industry standard you'd have to crack as well.
if you are not doing that, best stick with known good encryption schemes.
that being said you can implement a lot of encoding schemes like you say in ways that make it arbirarily hard for people to decide what is junk and what is data, to make it nearly impossible to crack especially if you say do that xor with random values etc. because if you'd receive a data intercept you have a hard time to rebuild the data from the junk and then decode it