Yes, there are many short runways with an ILS.
CJ´s are used to land on just this kind of airports every day.
The airport shown in my video above (EDLN) has a LDA 1200m/3937 ft (threshold) and
landing beyond glide slope of 978 m/3208 ft. Thats 222 Meters difference. Add a wet runway and you know what I am talking about.
The falcon in my link above overrolled the runwayend by only 15 Meters.
There is an old saying in germany: "Landebahn, Säge und Schwanz, benutzt man ganz."
Translation: runway, hacksaw and cock, you always use the full length.
Inbalance