Well, I found out why it was drawing 4.8 amps. Turns out the wire I was connecting to +12v also lights the parking lamps. Oops. I couldn't see that the parking lights were coming on because I was in the floor of the car. lol
So, now on a mission, I took more stuff apart and found the RIGHT way to do this.

The wire to splice is actually behind the instrument cluster.
1) Remove the two screws that attach the trim around the gauges and pull straight out as best you can. Don't pull it down and out or you'll break some clips on the bottom back. (er, oops) Mind the cable connected to the Trip/Reset buttons, you'll probably have to disconnect it when the piece is only partway out.
2) Remove four screws securing the instrument cluster and it should come out very easily. There are four connectors wired to it. Let's number them one through four, from left to right as you're facing your dash.
3) The connector you're interested in is #3. The two wires are near the middle of the bottom row of the connector, as you're holding it like it plugged into the instrument cluster. The YELLOW wire is what turns on the LEDs, and the Black/Red wire next to it determines the brightness. (The dial on the dash changes the resistance between the Black/Red wire and GROUND.)
4) So to turn on the gauge LEDs, you need to connect the yellow wire to +12V, Ignition switched, of course, or they'll be on when the car is off. **NOTE** You have to cut the Yellow wire, and only splice the +12V into the gauges. That yellow wire also lights all the cabin lights and the parking lights, so if you just tap the yellow wire, you'll end up lighting much more than you probably intend to.
I don't know the best source to tap for ignition-switched +12V, but I did find that there's an unused fuse socket in the lower-right corner of the dashboard fusebox that is ignition-switched. You could tap that (make sure to fuse anything you connect that way!), or there's very likely an ignition-switched source going into the instrument cluster that would be more convenient. I just haven't looked for one yet. Whatever you tap, you're only lighting the LEDs in the gauges themselves, so the current draw is WELL under 1A. The added load shouldn't be a big deal.
If you want to get REALLY fancy, you could use the yellow wire to drive a relay and switch the LEDs to full brightness (tie Black/Red from the instrument cluster to GND) unless the lights are on, then switch Black/Red to the original Black/Red to use the brightness dial's resistance to GND.
I haven't actually done this yet, but I've tested it pretty thoroughly. I hope it comes in handy for anyone interested in doing this mod, but I make no claims that the information is 100% accurate. This is just the way I BELIEVE it works on MY Santa Fe. And of course, if you attempt this, take appropriate precautions so you don't electrocute yourself, catch your car on fire, etc.

Pull the fuse(s) for the dash lights and parking lights at a minimum, so there's less chance you'll accidentally short anything that's live.