While an HIV infected patient is taking highly active antiretroviral therapy (HAART), drug-resistant HIV may emerge; however, it has been observed that HIV viral loads while on HAART are usually lower than baseline levels. Expansion of the T cell population during early HAART may explain this phenomenon. It is hoped that a short but aggressive HAART regimen to treatment-experienced patients who have drug-resistant virus will produce immune cells that will better control drug-resistant virus. This study will determine if a 6-month HAART regimen intensified by enfuvirtide (T-20) is effective in eliciting a stronger immune response against drug-resistant virus.