This phase II trial studies how well cixutumumab and temsirolimus work in treating patients with recurrent or refractory sarcoma. Monoclonal antibodies, such as cixutumumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Temsirolimus may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Giving cixutumumab and temsirolimus together may kill more tumor cells.