Most important step they missed was you probably don't want to be anywhere near NYC during a nuclear confrontation.
I imagine it's very likely the two would happen simultaneously.
https://www.youtube.com/watch?v=R_xWCJAtz3U
If most people believe, then traffic might not be impossibly bad.
In that case, a meaningful fraction definitely wouldn't get out, because they wouldn't even be trying to.
I'm fairly certain that's preferable to the scenarios survivors of a large scale nuclear exchange will face in the weeks, months, and years after.
You'd glass it if you were trying to kill US logistical capacity of course, but if you were trying to neuter a second-strike, you wouldn't really bother.