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CrabLeg,
I am not sure if original schematics will help. There are four ways basically to wire a bilge pump. Directly to the battery with a float switch, to switched power from the battery with no float switch, to switched power to a pump that has a float switch, or to a unit with a float switch with the option have having the pump come on with a switch and also to be powered passively and controlled by the float switch. Your options are to wire both pumps in series to the switch and then both pumps will act the same or to keep your current arrangement which will work just fine if you upgrade the pump wired directly to the battery. By this I mean that in the last few years bilge pump manufacturers have gone away from pumps with built in float switches and are using water sensing technology, that as you say, has the bilge coming on every few minutes for a moment or 2 as it senses if there is any water to pump. The manufacturers say this should not drain your battery, but it does unless you use the boat every couple of days to keep the battery charged. I am a keep it simple type of guy so if it was me, I would keep your switched pump arrangement and look online for Attwood Sahara brand pumps with a built in float switch to replace the pump wired directly to the battery. I have had this arrangements in a few whalers and it works great.