I didn't reply when I first saw this because I thought I'm getting far too contentious in my old age and I should let someone offer some helpful answers. But I'm with the Captain on this.
There is no way that your leisure activities and enjoyment from a potentially dangerous but entirely legitimate passtime should affect anything to do with getting security clearance for airside work. Driving a car is potentially dangerous but entirely legal - and arguably more dangerous than rifle shooting in many respects - as are many other activities that we all enjoy in our spare time.
But unfortunately in this crazy world that we live in you can never be sure!
You could try asking the
CRB but the problem is that I think many more checks are done behind the scenes and using who knows what databases.
The only suggestion that I can come up with is if you're working for an airline etc. maybe get them to make enquiries on your behalf.