US Army vs Jem'Hadar at Chin'toka (AR-558)

What if the Jem'Hadar faced in combat the US Army at Chin'toka aka AR-558? The US Army has deployed:

75th Rangers
1st Stryker Brigade
10th Mountain Division
7th Armored Cavalry
Patriot Missile Batteries

Who wins?

How many Jem'Hadar and do they have ships backing them up? Because a single Jem'Hadar attack ship could probably solo all of Earth's military at once.

One Jem'Hadar with plenty of ammo.

The Jem'Hadar wins.

oh dear....

facepalm

the jem'hadar are bred to kill, they also are invisible until they wish to be seen..

once again the US Army gets their arse kicked