Assuming we know the password length, which we do not, and assuming every character we can use has an alternate printable character via the shift key which they don't, allowing a larger character set via caps etc would still be far less secure than adding an additional character. imagine you have a 10 character password in lower case. now make one of these characters able to be upper case (it doesn't have to be) note: extra keystroke required(shift key). the password has at most twice as many possibilities(yay?). now take an eleven character password, also requiring one extra keystroke. Assuming you have more than two keys on your keyboard, a longer password is far better and takes the same number of keystrokes. Just as easy to remember, many times more secure.

Of course, most people don't choose good passwords anyway even when educated. They're difficult to remember and take time to type. Passwords aren't really the issue though. There are far easier ways to getting access to an account (not an arbitrary account) than guessing the password. For example, if it doesn't matter which account I got, I could just email a bunch of random people asking them for their password. It clearly works.

TL;DR:
get an authenticator. Update your software. Don't be stupid.