May be that the LED's don't have a driver or don't have the correct driver to regulate the supply voltage to match the LED requirements. If that is the case the draw will go up until the LED's eventually burns out. If I remember correctly, Whelan has retrofit LED's with integral matched drivers.

7 amps for strobes sounds normal, 4 amps for pos. also sounds normal for the std. lights, but not for LED's - hence my thought that the driver is not regulating the flow correctly.

If not occuring with other electrical devices, I doubt it's the regulator or in the charging circuit.