It is probably a 3 position switch with 2 offs. To the left should be all off and ignition locked. In the middle is all off but can be switched to on without key. To the right is on.

Yes you have it wired wrong.

"It's just a phase. He'll grow out of it." Mama, 1964

1956 Chevy 1/2-ton 3100
1953 Chevy 6100 "The Yard dog"
1954 GMC Suburban Now with a new proud owner.