> has a big impact
Big relative to what?
Let's run the numbers.
For a 2000 sqf home the AC consumes about 3-4 kW of electricity [1]. The vast majority of electricity in the US is produced with natural gas, where 1 kWh of electricity results in about 0.5 kg of CO2 [2]. Let's say 1 million people run the AC for 10 hours per day during the hot season, which is roughly 100 business days per year. That's 40 kWh per day, or 20 kg per person, or 20000 tons per one million people. Multiplying with 100 we get 2 MT of CO2.
Heating is probably similar. Obviously heating does not happen at the same time as AC, and people in the Southern states use more AC, and those in the Northern ones use more heating. Anyway, let's say heating adds another 3 MT of CO2, so overall the commute and the AC and the heating come to 10 MT of CO2 or 0.2% of the emissions.
[1] https://itlandes.com/how-many-watts-does-an-air-conditioner-...
[2] https://www.eia.gov/tools/faqs/faq.php?id=74&t=11