Count on the MCpl's to set you straight (well done PPCLI)...
I would say that SAR tech and JTF operators are both special forces on opposite sides of the coin. In both you'd have to opportunity to do cool extreme sport-like things (Parachuting, diving, rock work, rappelling) and be physically and mentally challenged in ways only those in military service can be. One big difference, IMHO is "gun play". As mentioned above SAR, being predominately domestic, have no req to work with weapons.
One thing not mentioned here is the Medical Category required. You must have a V2 level of vision and CV1 level of colour vision to qualify. V3 (need to wear glasses or vision more then 50/20) will not allow you to even apply for SAR (hence why Armymedic is still a medic :'().
I have seen all trades get into SAR, but in the army, MOC's like Cbt engineer (para /cbt diver qualified), and para qualified medics seem to do particularly well.