We are still IN the ice age that began at the start of the Pleistocene. We're in an interglacial period in the middle of that ice age.
During non-ice age periods, the Earth doesn't have ice, even at high latitudes.
A few melting glaciers on mountaintops doesn't make up for the fact that there are still miles of ice over Antarctica.
"The current ice age, the Pliocene-Quaternary glaciation, started about 2.58 million years ago during the late Pliocene when the spread of ice sheets in the Northern Hemisphere began. Since then, the world has seen cycles of glaciation with ice sheets advancing and retreating on 40,000- and 100,000-year time scales called glacials (glacial advance) and interglacials (glacial retreat). The earth is currently in an interglacial, and the last glacial period ended about 10,000 years ago. All that remains of the continental ice sheets are the Greenland, Antarctic ice sheets and smaller glaciers such as on Baffin Island."
(from Wikipedia).