Look carefully and you can see Bar Yehuda in this picture, taken from the fortress at Masada. And, 24C? I wish it had been that cool. 40C is closer to reality.
To me, this right here is probably the best answer... Ultimately, landing at Bar Yehuda is likely to be no different than landing at any airport at sealevel... For that matter, Furnace Valley or Thermal in SoCal are likely to be the same.
They're all airports in particularly inhospitable places (in other words deserts) where daytime temperatures are likely to soar far above the standard temps of 15C that you're density altitude will make the negative field elevation like landing at a field at sealevel.
In fact, at 40C, Bar Yehuda would have a DA closer to the 2000ft you are used to landing at than sea level (DA at 40C would be about +1500ft).
Ultimately, as has already been indicated, your instruments such as your altimeter will still work though reading the altimeter might be made a bit confusing due to the "unexpected" value (its not really unexpected but even expecting it, it's still easy to get tripped up when initially seeing the value) and your TAS will likely be a bit slower than your IAS (general rule of thumb is TAS is 2% higher per 1000ft in altitude gained, so going in reverse your TAS is probably 2-3% lower).
The plane will still fly and as long as you fly the pitch to maintain your IAS at your pattern/landing speeds and use an increase/decrease in power to control your altitude/sink rate, you'll end up on the ground with no major issue.
On the off chance you found yourself at one of these airports on a day when Density Altitude was closer to field elevation, it would be no different than flying at a near sea level airport on a cold day. Your engine will produce more power at a given setting and the wing will generate more lift so you'll need less RPM on the approach to maintain a given altitude/descent together with airspeed. All of this is likely to contribute to a long(er) landing since the plane is likely to want to float above the runway, especially when coupled with ground effect, and one thing you definitely dont want to do is force the airplane to the ground before its done flying.
And on the really really off chance you found yourself at one of these airports on a day with negative density altitude (in addition to the already negative pressure altitude), it'd be similar to flying in places with extreme temperature conditions (Antarctica, Arctic Circle, Alaska, Montana, etc) though probably without the concern for icing of the wings, fuel (yes AvGas will freeze) or carburetor... You will need to be careful not to overpower the engine. The FAA specifically provides the following takeoff warning for winter flying/low density altitude airports:
- Do not overboost supercharged engines. This is easy to do because at very low density altitude, the engine "thinks" it is operating as much as 8,000 feet below sea level in certain situations. Care should be exercised in operating normally aspirated engines. Power output increases at about 1% for each ten degrees of temperature below that of standard air. At -40 degree temperatures (-40 is the same in F and C), an engine will develop 10 percent more than rated power even though RPM and MP limits are not exceeded.
