There are no idiot questions (although I HAVE seen idiot answers!)
Yes, it would replace the Key-Switch electrically, but as
@Joesmoe suggests, you can still leave switch in place for the lock.
In your case you would still have to repair the connector on the main harness side as the KeyLess system plugs into that
(I could supply you with a couple of replacement terminals and explain how to install or even complete connector)
If you don't/can't replace the connector you would have to make the same bypass from the white/blue that you are doing currently, to my wire on the keyless.
Note that you would not need a Relay Kit - the KeyLess will handle the current.