The G-III has a range of 3698 nautical miles. But thats not figured with a full load or full crew. Or weather conditions. Fully loaded and crewed range might be in the 2500-2800 nm range.
Also every plane is different but you have to plan on reserves. So its quite possible that fully loaded on the G-III and weather conditions, that 2128 might not quite be able to make it, without refueling.
Now the C-37 is a G500/550 it has 6,000+nm range which fully loaded and crewed plus reserves gives you plenty from coast to coast.
Also the G550 costs about $5000 per hour versus the $22,000 per hour of the C-32.
The Gulfstream 500 also has a range of over 4000 miles.