You can't legally rebroadcast another radio service so use the WX radio port.
From Riley Hollingsworth himself in 1999...
Rebroadcasting NOAA was legal as long as:
The act of rebroadcasting did not lock out the control operators, that they would be able to shut it off if necessary.
If the rebroadcast is long enough your repeater has to ID normally during it. In other words the rebroadcast must not not inhibit your repeater IDs.
And no, if it happens the NOAA transmitter ID would not be a false ID of your amateur radio service transmitters.
The permissible rebroadcasts are only NOAA Weather, WWV (or WWVH) time and propagation and NASA shuttle communications.