Minecraft wiki entry for Best_biomes_for_homes, associated text: No wood naturally spawns in the ice spike biome. This is a horrible place for a beginner to build a house because there is no wood, meaning the only way you can successfully live in the biome is if there is a biome with wood nearby that you can harvest wood from.
The ice spike biome is extremely difficult to farm in. Because the biome is so cold, water will freeze unless protected. This means that you will have to go through extra work to build your farm inside your house or underground. Because of this, no natural sunlight would be there to boost the crop's growth, meaning that you would have to go through extra trouble to provide illumination.
Biomes that are hot or medium/lush are usually not found near ice spikes, which means that it's harder to gather resources if living in an ice spikes biome.
There are practically no passive mobs in this biome (aside from occasional rabbits or polar bears), which, coupled with the total lack of plants, as if things weren't bad enough, makes it ever so harder to obtain food.
Strays can spawn here.