I'm thinking of using this theme next time I play in an Unrestricted tournament.

Here's who qualifies for a spot on the team:

Jonah Hex
Two-Face
Jocker
Doctor Doom
Metamorpho

If you use the Vet. Two-Face, Vet. Doom, Vet. Metamorpho and the Joker from the Icons starter set; toss in a Rookie Doombot for mastermind fodder; put Trick Shot on Jonah and Fortitude on Doom-- then you have a 499 point team. But I have a feeling I'm forgetting some characters who could fit on this team.

Can anyone else think of a qualifying figure?

ghost rider's head is on fire

Yeah, but he can turn back to normal when he wants to, so I don't think he counts.

Jolt is another that you can use. While her face isn't super deformed like the ones mentioned, it is messed up thanks to the gunshot to her head.

Controller also has a messed up face.

Thing's is composed of rocks.

Bishop has the letter "M" tattoed on his face, but he might not fit your criteria.

Rachel Summers Phoenix has the marks of the hounds on her face (in the sculpt, at least). She might be like Ghost Rider in your mind, though.

Baron Zemo has a super messed up face.

Mr. Bones has a skull for a head.

Deadpool has a messed up face.

And here I thought you were talking about the actual sculpts, and was going to point out Zatanna would be an automatic inclusion.....

The Key and Desaad would also be pug ugly suggestions.

All good suggestions so far. This might actually turn out to be a good team.

Controller has a messed up face. Cable has a couple of scars, nothing huge though.

Psylocke has that huge scar. Domino has the black around her eye...

Deadpool has a super messed up face. And he is awesome in clix form.

Deathstroke got his eye shot out.

Reed Richard's has half of his face melted.

Thanos has a REALLY ugly face. They don't call him crater-face for no reason.

Supergirl. In clix, she has no equivilant. Or you could take any fig you want and stick a Mage Knight: Rebellion fig on the base.