Well until the ice all melts, its unlikely a significant temerature incerease will occour, as with melting and evaporation for precipitation will take more enegy like when melting snow and keeping a lid on a pot (venerable ray mears of the learned alumni of bushcraft). Its also unlikely that the ice has returned to what I was, only the surface ice on the northern pole, and I think it is undenieriableist, that the planet has warmed in the last 200 years since dickens and that it is continuing to warm, glaciers have shrunk, ice shelfs have dissapeared. What me and George W Bush wish to know is is it man made, because we could be rejecting coal fired power for no reason, I a lot cleaner than nuclear!
Back to being serious:
I suspect a great deal of it is the natural warming cooling cycle of the Earth. After all, the last ice age (mini ice age disregarded0 was 10,000 years ago and the next one is predicted to be 15,000 years in the future. That would mean we still have about 2500 years on the warming side (assuming it's symmetrical)
Of course man made pollution can't be helping, but just how big a factor it is, is far from settled science; despite what the so called experts say.
A third possible contributing factor (just from my own wandering mind without any outside reference) Could some of the heating (especially heat contained in the deep oceans) be from geothermal heat released by continental drift? Like I said, this is just my rambling.