I have a 2000 isuzu rodeo and Its a air and fuel mixture. I'm getting to much fuel and not enough air. Then when i ease into the gas it runs fine then when you push the gas pedal down further to the floor it acts like it wants to die

Vehicles need fuel, spark, and air to run. You started with the basics like spark and fuel, great. Slow down on the parts installations and take yourself back to basics.

1. Check your fuel lines for leaks.
2. Inspect the vacuum lines for cracks ( you stated it got cold outside. This may contribute to old hard lines cracking).
3. Remove the air filter box and filter and make sure airflow is free of any blockage. Test car without air filter installed and see if it stays running while giving gas. If it does replace air filter
4. Check the throttle body Mass Air Flow Sensor. This detects how much air is coming into the system. It reports to the main computer. If the MAF tells the computer there is significantly not enough air the the system will shut down. My guess would be a big vacuum leak or you have a bad MAF.

change spark plugs look at old ones and tell me what colour they are. if they are brown and wet after a run. you may need to change the leads as well.

1 get the fuel filter replaced if not 2 it can be fuel pump

O2 sensor may be dirty from not running premium gas. Check your exhaust for smoke when revving the engine. This will indicate a fuel air mixture that is too rich, usually caused by a sooty O2 sensor.

Check the fuel pressure it could be the fuel pump or pressure regulator.

This problem sounds like you have a fuel pump over heating and shuts of the relay. When it cools off the relay kicks in and you can restart your vehicle. Replace your fuel pump and the problem will go away.

the air bleeds itself out .sounds like fuel pressure regulator or fuel pump .thats what keeps the fuel from draining back to the tank when sitting

could be distributor
air flow meter
also could need a good tune up with all the mixtures set again

Gas cap isn't on right. Remove and retighten. Turn it at least 5 times.

After you change the gas cap like everybody tells you. The transmission position micro switch on the floorboard.