As the one that wants to see change in the area of sex, YOU will bear most of the workload. It is your responsibility to help minimize the effort required for your spouse to meet your needs for sex. I also read something on the three states of marriage that kinds of explains why you will feel that you are bearing the workload. In marriage, there are three states, Intimacy, Conflict, and Withdrawl. What usually happens is that the one that starts the process of going from withdrawl back to conflict back to intimacy will get their needs met LAST. This really sucks, so you will have to keep your eyes on the prize while you do "ALL the work".
I have also read where of all the "needs" in marriage, when a couple starts working on all the issues of a marriage, the issue of sex is the hardest and almost always the last issue in marriage that gets fixed. So to get to the end goal, there obviously are a lot of hurdles to overcome first. Obviously, you are going to feel like you are doing all the work. But remember, the LD also has a lot of work to do. You just may not see it as work since it comes so easily to you. Keep your eye on the prize!