I started attending meetings when I was pregnant and felt so lucky to find a LLL leader who had twins. She was an enormous support to me, especially in the early months.
Mine are now 16 months, and I can't say that I would have time to be a leader, but if you feel that you could fit it in without sacrificing yourself or your family, by all means do it :-)
So many women I've met at meetings have told me the first time they met me they thought: "Wow, if she can nurse two babies, I can definately nurse one!" As a leader, be assured that you would really be in a position to influence/motivate/support a lot of women!