2007 compass drivability

What is your question?

2.4, 5 speed standard trans and about 139,000 miles. When first starting it on a chilly morning it fires right up and runs great. The issue is if I try to give it any throttle at all it wants to die until it warms up just a little. After it's warmed up it runs great. Only thing I have noticed is the temp gauge hardly ever gets to the middle point so likely needs both thermostats replaced and coolant flush. This jeep is a recent purchase and in the pile of paperwork from the original owner I don't recall a fuel filter replacement. Any ideas?

What makes this problem better or worse?

colder weather

How long has your 2008 Jeep Patriot had this problem?

since the weather got colder, 3 weeks?