LA -> NYC is about 2,800 miles. If you had to stop for 30 minutes every 170 miles, that'd be 16.5 stops, for a total of about 8.25 hours of charging stops.
If you assume 25mpg in a car with a 12 gallon tank, and 10-minutes per gas station stop, the same 2,800 mile trip would require about 9.5 gas stops, or about 1.5 hours worth of total gas stops.
In the real world for drivers not going straight through, you're going to be spending at least a couple nights in a hotel when you could (assumedly) plug your car in overnight, as well as starting out with a full charge and more like 240 miles of range in the mornings. So I expect the real world difference would be about 4-5 hours of additional time waiting around for your car to charge in a Tesla vs. a traditional gas car. Not a huge difference on a 46 hour drive.
However, the mental difference of being forced to stop 30 minutes every 170 or so miles might make it feel like much longer than an additional 4-5 hours.
You'd also save about $365 in fuel costs in a Tesla vs. a gas car, but that's probably not a huge concern when you've already purchased a $75K+ car to begin with.