Well, one concern about leaving the crowd until later is that Mokou may not still be around the village later. She may be, but it seems a possibility. Otherwise I'd see no harm in coming back later.
Also, it occurs to me that given this likely happened to the Tengu as well, the whole place is likely on high security lockdown. We may have no chance to get to Kanako unless we disguise ourselves BEFORE we approach. I suspect they're pretty much turning everyone not guaranteed passage away.