You only get two weeks vacation a year. Most Europeans get four or five and most tourists in Iceland are European, so the tourism industry is naturally geared to their pace, not yours. Even though the country is small, racing around the whole thing in a week or ten days, even if you can do it, won't give you a clear picture and will hamper your enjoyment of Iceland's really spectacular wilderness. Have respect for the power of nature. Iceland is not Disneyland north.
Nature is untamed and powerful here.
Icelanders live with this power. Heed their advice when it comes to hiking and camping alone, fording rivers and climbing mountains. Take their advice about the weather too. Every year a few foolish tourists have to be rescued from dangerous situations of their own making. So be careful.