De-coupling fan and lighting switches?
This is what the wiring should look like...



Notice the incoming ungrounded (hot) conductor is spliced, to supply power to each switch. The ungrounded (hot) conductors from the fixtures, are connected to the other side of the switches. The grounded (neutral) conductor is spliced with the grounded (neutral) conductors leading to the fixtures, and all the grounding conductors are tied together and to the box (if it's a metal box).