There's a short field package offered by Boeing since 2006, which allows 737-800s to operate on short runways like SDU with full payload:
QuoteThe 737 design enhancements allow operators to fly increased payload in and out of airports with runways less than 5,000 feet long.
The short-field performance changes were developed in 2004 in response to Brazilian airline GOL's needs at Santos Dumont airstrip in Rio de Janeiro. The 4,300-foot runway is short compared to other runways and could not accommodate larger aircraft at higher approach speeds with full payloads.
The short-field design package is an option on the 737-600, -700 and -800 and is standard equipment for the 737-900ER.
Source: https://irishaviationresearchinstitute.blogspot.com/2017/05/boeing-delivers-first-737-800-with.html
So please add this package as soon as possible, as operating in SDU with 737NGs is a real problem!