Yes, participants in the Women's March on Washington should be allowed access to the Lincoln Memorial. The Memorial is a public space that should be open to all citizens of the United States who wish to visit it. Officials are showing obvious bias toward woman by banning these marchers from visiting.
As long as the marchers are not disrupting other people's abilities to access the Lincoln Memorial, they have just as much right to access the Memorial. Even if a person is there to make a protest, they are still a member of the public. The government has no right to restrict freedom of speech.
Marchers don't need to have access to this memorial because most people there are trying to learn and appreciate history and if people are marching nearby, these people can hear them anyways and their point will still get across. Marchers should still be able to get their point across if they are given specific guides of where to march.
The Women’s March won’t be held at the Lincoln Memorial. That’s because the National Park Service, on behalf of the Presidential Inauguration Committee, filed documents securing large swaths of the national mall and Pennsylvania Avenue, the Washington Monument and the Lincoln Memorial for the inauguration festivities. None of these spots will be open for protesters.