This whole topic is a mixed bag. Personally, I think the government should butt out. A reputable marriage agency would already require that sort of info and Russian women are smart and savy enough to find the reputable ones. If they're not on a reputable agency site chances are that's for a reason - so "buyer" beware.
Secondly, there is a myth that Russian girlfriends cannot receive visas to come for a visit. That is not correct. While the visa denial rate is high, it has nothing to do with whether the girl is your girlfriend or not. It has all to do with whether or not she has enough reasons to return (bank account, apartment, good job, children, parents, etc.). Plus, a lot of the American boyfriends either don't write a good enough support letter (stating they will ensure she returns home at the end of her stay and stating that they will bear all expenses for her) or don't write one at all. Long before I got married I was able to help Russian girlfriends get tourist visas - but they all met the above qualifications. And, don't forget, if the American boyfriend hasn't actually met his "girlfriend" and she doesn't have a job or other ties to the motherland she ain't gonna get the visa.
Marriage Agencies - I've seen a lot of them in action in my travels throughout the FSU and what I've seen disgusts me. Sixty or seventy year old guys after the twentysomethings (or younger). They should know that the girl is just looking for a way out and the girl should know they're dealing with a pervert. However, I've seen some men searching for a bride after beind discouraged about American women's apparent preference to put career first and family second. A Russian woman won't do that.
The other bad thing about the marriage agencies is almost all of them sell their database to other agencies. Sometimes girls are listed on multiple sites when they only signed up for one. Some of these girls have ended up on "blacklists" because unscrupulous agencies have had someone else pretend to be them and bilk stupid foreigners out of money with the sick mother, ill son, etc., sob stories. Personally, I have no sympathy for anyone dumb enough to fall for those stories.
Another myth is the criminal background check the US Embassy requires. Anyone with any time in Russia knows that all it takes is a little cash to get a clean report. I'd be willing to bet good $$$$ that a lot of prostitutes have managed to slip through the system. So, the American man following the new rules is actually at a disadvantage because he's not having a credible background check done on his "love." Best thing to do is go over there on your own. Meet her friends, her parents, see her in her element. If warning bells ring in your head heed them.
I don't think the government should stay out of it at this point.
I think there is a very real security risk involved. While there's tons of highly educated Europeon looking women in Russia, there's also a fair amount of Muslims, and Jihadist who could exploit the system, and probably do.
Also, what I've heard and seen of agencies, even reputable agencies, leads me to beleive the girl doesn't have a lot of say in things, or any sort of clear picture of the man before he arrives, if he arrives. I don't think this legislation is a perfect solution to either the security or information gap problem. But I don't think it's some sort of demogogery stealing away rights. Any man who wants to fly to Russia and pay an interpreter to meet women can (and I'm of the opinion if they can't do that they shouldn't be pondering marrying one). Further this law doesn't affect foreign owned sites, though many are complying anyway out of an interest in giving their female clients this knowledge. I think a lot of folks are making a mountain out of a mole hill with respect to this law.
I think there are legitimate folks using these agencies to find a wife because they are disenfranchised with American feminists, but I cna't fathom a reason they'd be against sharing such information with a would be suitor.
My wife's friend who used an agency to meet her british husband is still on blacklist sites after a rogue agency stole her information. She was very worried going into the interview whether the government looked at those sites when giving the visa interview.
As far as the background check I was under the impression that the US government requested this and that it is relatively difficult to forge. I should HOPE we have folks scruitinizing these to find forgeries. Also I seem to recall that the government runs another check on both parties when they apply for adjustment of status.
I still think this legislation is ho hum and not something to be alarmed about, though something that would probably be more effective if gone about differently (perhaps an online tool to access detailed translated public records such as sex offended convictions etc, though God only knows what agencies would charge to let women use this tool and how much that would cost).
"However, I've seen some men searching for a bride after beind discouraged about American women's apparent preference to put career first and family second."
I get so tired of seeing women get most of the blame here for lack of traditional marriages. I'm not saying there aren't women like those described above out there, but there are plenty of men who have decided to extend childhood into their thirties and do not want to offer marriage or want to be traditional providers or frankly, just get off their asses and really work hard for something.