To obtain the fluids from the alpha male you must go at night and find the alpha werewolf, you can always see him near the entrance to the subsoil of the werewolves' lair, you must defeat the alpha werewolf and thus you will obtain them, to open the second floor of the wolf lair you must finish the entire full moon event
The probable error is that you don't have to go through the doorway to the deeper lair to get the wolf fangs.
Your goal is to defeat the Wolf Leader (during the day). He is a ! symbol on the right side, with the day wolf being upper right.
The subsequent quest, to fight the Alpha Werewolf, is also not through that doorway - it's just on the lower right of that same map and also a ! symbol.