Even cops can use it to unlock your phone without permission legally[1], but they can't compel you to use your fingerprint on the device.
Of course if you really care about security you won't use either. Historically single factor biometric sensors have historically proven to be weak indicators of identity.
[1]: https://www.wired.com/story/police-unlock-iphone-face-id-leg...
And, in either case, that doesn't really matter as Face ID/Touch ID can both be disabled by tapping the power button on every iPhone. In terms of security for that specific case, they're both equally secure. Face ID, however, has a much lower rate of false positives than Touch ID (with the notable exception being twins).
In the real world typing your password a million times is a pain in the ass.
Are you sure? Because I've read the completely opposite and that the only thing that the cops can't force you to do is enter your password.