Air to air combat , helicopter venus jet fighter

Which you think will win if a gunship helicopter like the KA-52 go against a jet fighter like F-16 or even F-35:)
i know that normally ,people think helicopter have no chance to shot down jet fighter but i think actually helicopter have a lot of advantages if it is an ambush make by the helicopter
Advantages of helicopter :
– Most fighter use Doppler radar so when the helicopter hovering (stationary ) they will be invisible to the fighter radar or the AIM-120’s seeker
-compared to fighter helicopter have much slower speed and don’t have jet engine so they have very low IR signature , if helicopter are painted by some thing like this http://www.army-technology.com/contractors/camouflage/intermat/ finding them by FLIR would be almost impossible for the jet fighter pilot
-almost every helicopter have DIRCM so they are quite immune to IIR or EO missile , even the most modern one like AIM-9x , by contrast jet fighter only use flares
-helicopter have much better armor that can survive direct hits from armor-piercing and high-explosive projectiles
-normally helicopter have short range radar but new helicopter like the KA-52 will be equip with zhuk-AE radar ( mig-35 radar )
-new helicopter can also carry long range missile ,( as i know russian decided to put the KH-31 on the KA-52 so may be in my opinion this gun ship can also carry missile like R-77 , R-37 … )

Advantages of jet fighter
-fly much higher and faster so it is easier for them to out maneuver a missile
-have towed decoy to evade radar guide missile
-carry a bigger load , more missiles , more bombs

So what your opinion :p
P/s : in an experiment in 1978 the helicopter proved to be extremely dangerous to jet fighter http://en.wikipedia.org/wiki/J-CATCH