I watched that show when I was a kid. A little older than 6 but still impressionable. If you pay attention, nobody ever dies or gets seriously hurt in that show so it seems harmless.
When I was a kid, I thought George Peppard was the greatest man to ever live. I thought he surely a higher-up in the government, advised the President, etc.
Nothing beats the episode/part of the opening credits where they are at Universal Studios and Face/Starbuck sees the Cylon come by, pauses, almost talks to him, then shakes his head.