To a degree. But F1 has an uphill battle to gain any real popularity in the US; there is, of course, a fan base here, but I do not foresee any major shift in those numbers. When Andretti won the F1 championship in 1978 he got maybe a fourth the media attention as the NASCAR champ, Cale Yarborough.
An "American" team would have be to be completely US based to gain any amount of attention; a British chassis with a French engine and a Brazilian driver would not be seen as "American" no matter whose name was on the team or who financed it. There's also a matter of name recognition; one reason for the continued popularity of NASCARE is everyone is familiar with Ford, Chevy, Dodge, and Toyota, but how many F1 teams have names that would mean anything to the average American.
Even if there are four races in the US, or even in North America, that is still few and far between. Europe has eight or nine races each year in an area half the size of the US, so naturally it's more popular there; no matter where you live there's a couple of races in easy driving distance, and the rest are a short flight.
And F1 still has a reputation to overcome here. They are still perceived as a group of arrogant millionaire playboys who deign to come to this country a couple of times a year for millions of dollars, never interact or mingle, just "take the money and run" back to their chateaus and yachts.
There is a European NASCARE series, but it bears little relation to its US counterpart. There are only seven or eight races each season, all on road courses, and the cars are only around 450hp. But they use Fords, Chevys, and Toyotas. NASCARE tailored for a European market. I think this is what F1 would need to become truly popular here - a North American F1 series.