Will this process make it legal for me to buy a suppressor in the US?
this is straight out of a link from Wikipedia.
it say’s "38 out of the 50 states" does that include IL?
anything else i should know about suppressors?
no i am not going to kill anyone, i just like having unique things.

North America
In Canada, a device to muffle or stop the sound of a firearm is a "prohibited device" under the Criminal Code.[14] A prohibited device is not inherently illegal in Canada but it does require an uncommon and very specific prohibited device license for its possession, use, and transport. Suppressors cannot be imported into the country.[15]
The United States taxes and strictly regulates the manufacture and sale of suppressors under the National Firearms Act. They are legal for individuals to possess and use for lawful purposes in thirty-eight of the fifty states. However, a prospective user must go through an application process administered by the Bureau of Alcohol, Tobacco, Firearms and Explosives (ATF), which requires a Federal tax payment of US0.00 and a thorough criminal background check. The 0.00 buys a tax stamp, which is the legal document allowing possession of a silencer. The market for used suppressors in the U.S. is consequently very poor, which has driven innovations in the field (buyers want the height of technology, because they are basically "stuck" with the purchase). Primitive suppressors are available in other countries for under US,[16] but they are usually of crude construction, using cheap materials and baffle designs that were obsolete in the United States by the 1970s. While suppressors in the US are more expensive (hundreds to thousands of dollars), they are generally built with highly advanced baffle stacks and exotic materials like Inconel and high-grade heat-treated stainless steels.[original research?] Several states and municipalities explicitly ban any civilian possession of suppressors
here is the link fatefinger; http://en.wikipedia.org/wiki/Suppressor

Be sure to read the comments, you will find more information about federal firearms license

dont lecture me about "oh you have to have a ffl license and pay for a tax stamp" and all that jazz. i just want to know, are they easy to find on the market

I have heard various answers from people in law enforcement but are there certification courses that a civilian can take that will allow them to legally own, operate, and/or carry firearms that fall under FFL levels 2&3 or is just having the tax stamp enough? For instance, I have a very small apartment and I would like to buy a short shotgun so that I can move freely around my home and be able to quickly present the shotgun if there is an intruder, however there are laws prohibiting me, as a civilian from owning a shotgun with a barrel that is less than 18" or one that is under a certain over-all length. Is there a class I could take that would allow me to own and use a firearm like this legally? I would also like to purchase a suppressor for my .45 because I am concerned that if I had to discharge my firearm in an emergency, self defense situation, in my home, that I could damage my hearing.

I have talked with retired police officers, military personnel, and gun store employees and received very mixed answers on this subject. I realize it probably depends a lot on where I live. I live in Virginia, a shall issue state so I would think, with the exception of maybe Florida or some Western states that are even more relaxed on gun control, if it is possible to obtain a license or certification to own something like this I would be able to here. I have, as I stated before, also heard that simply paying the tax stamp and going through a 2 or 3FFL dealer would be enough but I would like to make sure so I don’t create any trouble for myself. Thanks for any help.
I was asking more in generality tho. Most of the FFL 2&3 firearms I am interested in I wold like to have simply to take out to the range and have a good time with. The short shotgun and suppressor are two of the few I would pick as ideal self defense.

Unknown, I own both a .45 1911 and a 9mm Baby Desert Eagle, I practice often at the range but I have been present for an accidental discharge in tight quarters and it is very loud. Also, I live in a rough area and have had armed men at my doorstep on more than one occasion, fortunately the sound of racking the slide on my .45 has been enough of a deterrent to avoid an incident. I have confidence in my shot placement when I am awake but the shotgun takes less thinking if I were to wake up out of a dead sleep and need to defend myself, my loved ones and/or my home.

Eddie, I realize the laws about the length, but as I said I am in extremely cramped quarters so it would be advantageous for me to have a smaller framed firearm.
Also Unknown you said "not in Virginia". Did you mean that there are states that Do issue a permit or license for these kind of firearms? I was watching some behind the scenes features on a DVD and they said that the weapons master on the set is one of the only civilians in the country licensed to own, operate, and supervise the use of a Glock 18c, which is a fully automatic handgun. That statement is actually one of the major things that sparked my interest and led me to ask this question.