You Are a Member of the Supreme Court When Lawrence

You are a member of the Supreme Court when Lawrence v. Texas is argued and decided. At conference, the majority decides to rule in favor of Lawrence, as of course occurred. However, the majority decides to rest its decision for Lawrence on the Equal Protection Clause, instead of on the Due Process Clause of the Fourteenth Amendment, as actually happened. You are assigned the task of writing the opinion of the Court. That means that you must draft an opinion holding as the Court held in Lawrence, but one that rests the holding on the Equal Protection Clause, instead of the Due Process Clause. In this context, write a concise draft of what you will circulate to the members of the Court, using the Equal Protection Clause.