Okay, I took a couple minutes to look for names of residents, etc... at the programs you listed above.

Here's what I found (broken down by specialty)

Psych

University of New Mexico--New Mexico--Psychiatry. http://hsc.unm.edu/som/psychiatry/tr.../resident.shtm Does not list residents.
Loyola University--Illinois--Psychiatry. http://www.luhs.org/depts/psych/resi...housestaff.htm Does not list medical schools, but superficially appears IMG/DO friendly.
Southern Illinois University--Illinois-Psychiatry. http://www.siumed.edu/psych/main/edutrain/respic.htm Outdated resident list, no school affiliation, appears IMG friendly.

IM

Southern Illinois University--Illinois--Internal Medicine. http://www.siumed.edu/medicine/residency/medres.htm Appears very IMG friendly, couldn't find a housestaff list.
Long Island College Hospital--New York--Internal Medicine. http://www.ama-assn.org/vapp/freida/...511280,00.html FREIDA does not show a web address.

FP

Medical College of Georgia--Georgia--Family Practice. http://www.mcg.edu/Resident/fm/index.html Does not appear to list residents.

Peds
New York Methodist Hospital--New York--Pedicatrics. http://www.nym.org/education/residen...diat-prog.html Does not appear to list residents, appears IMG friendly.

Surgery

John Hopkins Hospital--Maryland--Surgery. http://www.hopkinsmedicine.org/surge...Residency.html Has both prelim & categorical surgery. I couldn't find a housestaff list.
Robert Packer Hospital--Pennsylvania--Surgery. http://www.guthrie.org/residency/gen.../residents.asp Does not list school affiliation, appears IMG friendly (rural). Only categorical (no pyramidal system).
Maimonides Medical Center--New York--Surgery. http://maimonidesmed.org/gme/about/t...ny.htm#surgery Does not list school affiliation, superficially appears IMG friendly.

Now, the fact that I couldn't find a single resident with affiliation to one of the Hope schools doesn't mean that they don't attain those positions. It is (generally) indicative of IMG friendly programs that they do not list school affiliations (presumably, so that they don't additionally put off US grads).

As far as specialties go, Psych (generally, again) is not considered competitive (truth be told, I wouldn't mind gaining one of those spots myself), IM (with exception of university powerhouses) is also wide open to IMGs, as is FP. Surgery is another ball-game. Categorical spots are super-competitive, whereas preliminary ones are routinely obtained by IMGs.

So, let's accept that HMI grads obtained those or very similar positions above (However, I will continue to be skeptical about categorical surgery spots.)

Compare this list to SGU/Ross/AUC (and to a lesser degree Saba) and consider the following:

1) Those schools have thousands of licensed grads.
2) Their grads are eligible for licensure in all 50 states.
3) Their grads (as far as IMGs go) also obtain far more competitive residencies in addition to primary care ones.
4) The administration of those schools is far more professional than HMI. For instance; SGU, even though a significant number of its students are able to transfer to US schools (based in part on their pre-med stats) clearly warns prospective students that they should come with the understanding that they will not transfer. Two-bit agents and agencies on the other hand mislead their prospective students into believing that they'll transfer. In addition, they surprise their applicants with last minute placement fees for minimal services, etc...

I think that the difference is clear.

Miklos