While Sydney is underwater, her white headband floats off her head while she is pulling a gun from a bad guy, but in the next shot, it is firmly on her head again.
Many of the guards (and Sark) at FAPSI headquarters wear an eagle insignia on their hats that is not worn by any Russian military agency. Instead, it is the insignia worn by warrant officers in the U.S. Army.
When the team is in Madagascar they have night-vision goggles, but still uses flashlights. Meaning they not only give away their positions but makes the goggles pointless.
Also if their goal was "stealth" why drive an ATV almost all the way up to the house they are targeting.
And the infrared filter on the satellite feed wouldn't show the buildings interior like it does.
And the infrared filter on the satellite feed wouldn't show the buildings interior like it does.