Scientists say that if the North pole melts sea levels will rise. Yet ice displaces it's own weight in water, so when it melts levels...?

Rush Limbaugh once pointed this out.  If you put ice in a drink, the level of the drink in the glass doesn't rise as the ice melts.

And yeah, that's true of the North Pole.  It's just ice floating on water. The South Pole is different, though.  That's ice sitting on land.  And that ice is melting too.  And sea level IS rising!

Iceburgs sit 10% above water, 90% below, so a single iceberg melting is no big deal, but an entire ice shelf falling off of Antarctica is a very big deal. They slide off of land into the water, making 90% of themselves now added to the ocean volume, then when they melt they add another 10% plus their thermal expansion when they finally melt and are no longer visible.

And don't forget about uplift. As land ice melts - In Northern Canada, Russia, Greenland, Antarctica, the tremendous weight on the ground is gone and the land rises up, displacing even more water.

Looks like scientists ARE saying that !!!

"As a result, sea level does not rise when sea ice melts. Another contributor to sea-level rise is the increase in volume that occurs when water is heated, called thermal expansion. Both thermal expansion and ice melt are the results of the rise in global average temperatures on land and sea known as climate change...." --  jpl.nasa.gov › edu › teach

"May 28, 2019 · “In a paper titled “The Melting of Floating Ice will Raise the Ocean Level” submitted to Geophysical Journal International, Noerdlinger demonstrates that melt water from sea ice and floating ice shelves could add 2.6% more water to the ocean than the water displaced by the ice, or the equivalent of approximately 4 centimeters (1.57 inches) of sea-level rise." 

Both at the North Pole and at the South Pole, the ice as now positioned stands several feet, or many feet, or even hundreds of feet, above the surrounding sea level, especially at the South Pole. If that ice melts the, water will flow naturally to sea level and therefore raise the sea level.

Note that there is far more ice at the South Pole and that much is on a land mass which is above sea level.  In very recent years, many square miles of ice have broken off the general ice shelf, and are floating in the ocean and gradually melting. So sea levels have already risen a few inches. 

Just think of all those big cities with ocean frontages, with many districts close to sea level, in many countries around the world.

When a lot of water melts, sea level rises.

Scientists are talking about the ice sheets on Greenland which are still on the land, not floating in the ocean. 

I don't know many scientists who make that basic mistake, no.  Ice in water is already occupying the essential volume it will have once melted.  There is some minor (or secondary) change because water does not have a constant density with temperature, or with salinity actually, so it is difficult to specify what minor change in sea level would be expected from the melting of fresh water ice into a saline ocean. But the change is minor on the order of magnitude of the estimates we are making.  We don't know ice volumes with the level of precision that such minor differences would matter.

Sea level rise will be caused primarily by the addition of water from ice currently on land.  Pretty simple concept.  The reverse has happened numerous times, where sea levels fell a lot when loads of ice was stored on land.

Scientists DON"T say that at all.   Scientists say if the ICE CAP on Greenland Melts, Sea level will rise.  If the ICE CAP at the SOUTH Pole Melts, sea level will rise.

IF SEA ICE Melts, sea level will go down.

That's not what they say. They say if the ice sheets on Greenland and Antarctica melt, then the sea level will rise.

Which scientists say that, can you tell us please? Perhaps you are confusing this with a statement about the ice in Greenland?