IMO, the only horror film character that can be paired adequately with Leatherface is Carrie.
Carrie (or Carrie White) is the main character of the Stephen King horror novel which bears her name; she is an emotionally strange American teenager girl who uses her telekinesis to create pure mayhem at her prom when she is treated cruelly. Brian De Palma adapted the Stephen King novel into a very iconic American horror film starring Sissy Spacek.
Like Leatherface, Carrie symbolizes anti-social insanity. They both seem to resent themselves and are not hesitant to take it out on others.
While Michael Myers (from the
Halloween horror film series) may be better matched with Leatherface in terms of strength and battle-equivalence, Carrie is the best match for Leatherface in terms of self-loathing.
This is something to consider when analysing why/how Leatherface signifies ugliness. Leatherface is an ugly man, and Carrie is an ugly female (spiritually speaking). It's a match made in heaven or hell.
Carrie (Horror Wiki)