Gas prices have an outsized impact on "our" views of prices because we see them daily posted. Maybe "cereal" goes up a dime, we don't really notice, at least not daily.
And gas prices closely track petroleum pricing, which is a global situation. WTI won't vary that much from Brent, etc. (It's usually a bit cheaper.)
There is this notion that "under Trump, we were energy independent", which is false. And US oil production is now at record levels. Would it be even high under Trump? Doubtful, as oil production hinges on demand, oil majors/OPEC have no interest in producing "extra" just because they can. They produce in the amount needed to stabilize prices, to the extent they can do so. Trump would open up more land for exploration, fine, that doesn't mean anybody would step in at current prices and start producing.
Longer term, it could be a factor, but I do expect oil demand to drop over the next 20 years after peaking around 2030.