Holy cow, this game was one of my favorites when I was a kid.
It's a Playstation 2 game that came out in 2002. The game takes place in an alternate reality where we have mechs by 2016 (I wish!) and the player was part of an international peacekeeping force that performs armed interventions on any nation that was about to spark a third world war. In this mission the player and his squad drop into Cape Canaveral, Florida, to destroy a space shuttle and a satellite-killing payload it has onboard that would cripple Chinese and Russian electronic systems.
The controls were very awkward because the left and right sticks were reversed (most shooters use left stick to move and right stick to aim, this game is opposite). However, once you got past that it was an awesome game with plenty of action and lots of mechs, weapons, and upgrades to unlock.
Plus, it has a soundtrack to DIE for:
If you happen to own a PS2, pick this game up. I can't imagine it's more than $15 these days and it's worth getting past the control scheme for.