There is an obvious lack of a cleric. Not just for healing but the group could benefit from a full divine caster or a divine caster at all since Tempered Champion replaces casting. Go cleric of Gorum and out damage everyone in the party.
And now, I have another party member who wants a martial class as well...
One solution I'm thinking of is to just let them do this. When they start dying of, maybe they will learn to bring characters that fit more.
Sometimes strange party makeups can be fun. My COTCT group is a psychic, a blood rager, a vigilante (zealot) and an alchemist. Is it odd? Sure but that makes it a bit more unique