For those who haven't memorized the schedule, AA 2183 would presumably be the JFK-DCA segment of AUS-JFK-DCA.

First, if you do misconnect, there are two later AA services, not to mention DL and any number of other surface options as backup. So, absent a Cat. 5 hurricane, you will make it to WAS.

Second, you should be fine absent delays on your inbound or a problem at CBP (not time, but admissibility). These latter two are something for which you cannot control, so not to worry, especially because there are options.