score:8
Since all of these are domestic flights, customs (or passport control) is not involved at all, and things work exactly the same for everyone regardless of citizenship.
You will have to:
The only shortcuts to get through security faster are fast track (if you are flying premium classes or have status) or TSA Pre, but the latter requires quite a bit of preparation (and I’m not even sure it’s open to foreigners?).
Two and a half hours should be enough if your incoming flight is on time. However, if there’s a delay and you can’t make it, remember that you are on your own: your outgoing flight will be considered a no-show, and it’s up to you to book (and pay for) a new ticket.
Personally, I would prefer to have all flights on a single ticket so it’s the airline’s responsibility to get you to your destination (and you wouldn’t have to claim and re-check your bags), or I would rebook with a bit more time (4 hours is a safer bet), though I have seen flights delayed longer than that.