Normal
Seems normal to me too (or am I abnormal already). I have been involved in many and varied dangerous work activities and often get 'That feeling'. I guess it is experience that tells you when to believe it or not. In any case I always take stock of the situation and once you have convinced yourself everything is OK it is time to analyse whether it is irrational or just the normal fight and flight response.
Funnily, being a pilot of other aircraft also I tend to get it at different times. In helicopters it ALWAYS occurs to me while in flight. Never before or after. With other fixed wing aircraft I only ever have had it before or after. Never inflight.
Me I like the adage to never fly with someone braver than you are and if someone says they have never had that feeling and will never get it I would prefer not to fly with them either... I see it as the body and minds own self preservation device and it is natural to want to preserve both (preferably not with liquid preservatives).