Umm, no. Not by a longshot.
This book is a bit dated, but remains useful for ballpark estimates of GHG emissions associated with various activities:
https://www.amazon.com/How-Bad-Are-Bananas-Everything-ebook/dp/B004VO4IZY/ref=sr_1_1
As an example of a long-haul flight, he considers a round-trip flight from LA to Barcelona. The emissions figures he comes up with are 3.4 tons CO2e (CO2-equivalent) for an economy-class ticket, and 13.5 tons for first class.
Whereas the figures he gives for showering are 90 g for 3 minutes using an efficient gas furnace, and 550 g for 6 minutes using typical electric heating, and 1.9 kg for 15 minutes in an 11 kW high-volume shower.
Obviously completely different orders of magnitude here. Taking a single international flight can constitute most of a person's CO2 emissions in a given year.
Well, I think all of us, liberals and conservatives, climate hawks and climate change deniers, get emotional about these issues.
And that's entirely to be expected. We are after all contemplating future changes to our society that were unthinkable just a short while ago.