I'm assuming that the tank isn't pressurized. If it is, you certainly have pressure uplift, but that isn't wind uplift.
Keep things in perspective here. Most tanks are operated somewhere between totally full and totally empty. The sliding-in-the-wind problem assumes that the tank is just totally empty, so it's an uncommon condition to begin with. I can't think of why you'd want to approach this particular design aspect in an extra-conservative manner.
As to the wind on the roof with external stiffeners- using the API/AWWA wind loadings, it would probably make sense to consider the stiffened roof as "flat" area at 30 PSF or so instead of coned/double curved at 15 PSF.
Determining the friction is easy- it's stated in one or both codes (I think it's the tangent of 30 degrees, but would have to check). Testing it is easy- take a steel plate, a chunk of concrete, tilt the plate till the concrete slides and measure the angle- that'll give you the coefficienty of friction.
Unless standards say otherwise, I'd include the floor weight in the resisting weight for sliding- I can't imagine that the tank's going to slide off and leave the floor there.