The US ESTA visa application does ask if you've ever engaged in terrorist activities, fraud, amongst other things.
1) Do you have a physical or mental disorder; or are you a drug abuser or addict; or do you currently have any of the following diseases: *
Chancroid
Gonorrhea
Granuloma Inguinale
Leprosy, infectious
Lymphogranuloma venereum
Syphilis, infectious
Active Tuberculosis
I can't remember if it asks for more in depth info on MH. It probably does.