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To answere your question, no, there is no current draw until you operate the winch. Now, under full load pulls, the winch can draw up to 400amps! and on level pulls, (say getting you over a small obstacle) as little as 100amps or less. Most winch pulls are under 10 feet, just enough to get you going again. Unless your stuck 100' in mud and need all the cable to free yourself.
Having 2 batteries is a nice feature, but there not wires in series. that'd give your system 24Vdc, which it wouldn't like too long. They'd be wired in parelell (?) or positive to positive and negetive to negetive.
They can be wired right to the alternator, but the weaker of the 2 batteries will recieve more charge than the other battery, and eventually, cause failure of both batteries.
The better way to connect a dual battery is thru a dual battery system like what Painless wiring offers for about $100 bucks. It offers you the ability to "jump start" from in the cab via a 3 pos switch. You can run dual batteries all the time, or leave the 2nd battery out of the circuit till needed.
Having a more powerfull alternator will help the batteries recover faster after heavy winching.
What size/kind of winch did you get? Are you familuar with winching technique's and safety?
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