Agree with Orca.
BUT, the groundside transportation can also be an issue. Even if the hotel will shuttle you to the east (international) side, you could well lose 15 minutes or so.
If you prefer to stick with the train, just enter the terminal at domestic and survive 10 minutes or so of bumping shoulders with the unwashed masses.
[Monday morning might be different, particularly for those w/o status. TSA can be bad then].