That will effectively create two different wallets, but I don't think we can create two different wallets with the same seed phrase and separate them with a passphrase???
Each passphrase creates a new wallet, yes. But you can generate an unlimited number of different passphrase-protected wallets and deposit any amount of bitcoins you want in them.
Here is an example.
Your standard wallet generated only from your seed contains 0.01 BTC in total.
Passphrase wallet #1 contains 0.5 BTC.
Passphrase wallet #2 contains 1 BTC.
Passphrase wallet #3 contains 5 BTC.
...
...
This can go on forever.
If someone gets your seed, they will only be able to access the standard wallet. They need passphrases to the other wallets to take your most valuable stashes.
This is true, and to avoid problems caused by the wrong or misspelled passphrase, it is advisable to use wallets that can reveal the master key fingerprint, which uniquely identifies that key. This identifier should be written down and kept somewhere visible. If something is wrong with the passphrase you entered, you can easily notice the mismatch and take the necessary steps to correct it.
The key fingerprint is a neat addition and identifier indeed. It's a short string and easy to back up. Like you said, it's unique to that particular wallet. Alternatively, you can write down the first address from your wallet because that one will be unique as well. The non-passphrase and passphrase-protected wallets won't share the same addresses. The fingerprint is shorter, though.