Hide "Members" button in public spaces.

I am building a site for a club with a public space and a member’s space. The problem is that the “member’s button” in the public space causes confusion. So how can you hide this button? I would also ideally like to hide the lock icon and the cog.

Naturally visitors think that the “members" button leads to the club’s membership rather than the space membership so nonmembers think it’s a very small club and members click it in an attempt to log in.