Is it harder to find an Am. man living in the US than in Russia?

[Gator]

...I am still dreaming of having kids of my own and I am 33, so I don't have that much time to wait,t that's the main point of my concerns.

You still have a few years.  Seriously.  Do not use Russian standards.  AW have children later in life than RW. 
 
An alternative for meeting men.   Some RW residing in America are listed on Elena's Models.  There are over 30 RW in the age group 30-35.
 
http://www.elenasmodels.com/index.php?list=emodelsuser&method=create_form
 
 I don't know about the attention they receive; however, I would think most men would not ponder, "I don't know what my family would say."  Seriously, the men you meet there should be far more committed than the men you meet serendipitously in Texas. 

[vwrw]

Any man that stereotypes Russian women to the extent that he has something against them, is probably not someone worth having.

I agree.
The point of not telling about your place of origin is not to attract men biased by stereotypes but to determine whether the lack of success  is attributed to the right cause. It seems V. believes  her Russian identity spoils her situation…not telling that she is Russian would help her verify or disprove her hypothesis and create some mystery, air of mystery around a woman is always good.
 

[Gator]

There's often a long list of wannabes hanging around any divorced woman looking for an easy hit. The question could be posed regarding the quality or suitability of such a list.

That's a Big Question.  I have a golfing pal who chased the recently divorced women at my Country Club.  He was there for them, and he was serious about a relationship.  He was off/on with a few different women over many years.
 
He became romantic with a divorcee who had "Big Money."  Unfortunately, he was in economic decline.  Using poker terms, he went "ALL IN" and spent his IRA to stay up with her on trips, etc.  He moved into her house. He even rented his condo to a friend.  I recall going to her house party and seeing a wall covered with golf scorecards and photos from their travels.  Everything seemed ideal, yes?
 
Not sure what happened exactly.  One day he received an email saying not to come home and to go to a hotel where she had paid for his room for a month.  He has dropped out of sight,  sits in his condo awaiting foreclosure, and drives a bicycle rather than a car. 

[BillyB]

She is smart, serious, and even has a deep sexy voice. I paid for her one-month membership on match.com.  She had innumerable responses.  She narrowed them to three, and all three proved lacking if not dreadful.   

A lot of men and women narrow things down only to have to start over after learning more about their choices. In the end many settle for less than they desire and live in an unfulfilling marriage.
Besides lack of quality people available, we are to blame for our selection process. Some RW may eagerly give out their phone number to an attractive man without him asking who may call little or not at all yet a less attractive man want's the number and is willing to call her often giving her attention. Which man is more serious about her and motivated to travel to see her?
Everyone needs to carefully examine what is their definition of "wife" or "husband" material. Is it a man/woman who like to go to the disco everyday and living free or is a person who dedicates their life to benefit their family? Can there be a mix? I don't think so. I've dated givers and takers and givers are so much better to be around. Vasilisa, based off the way you described your ex husband in 2 threads, he seemed to want you for selfish reasons and not concered with your happiness. If there were not enough seats in the cars to go to a family Christmas event, I would not leave my wife home alone as your husband did with you. I'd stay with her... if there were no taxis available. Your ex was not proud of you and he was hiding you from some of his relatives.
 I remember 25 years ago talking about the population of Earth getting out of control yet people are having less babies today. In the old days, the strong survive. Today almost everybody gets to survive. The stupid, sick, lame, and lazy all get to survive and thrive even if someone else is paying for it. Less % of quality people to choose from so less people will be having babies since rejecting the majority or all their suitors.
Vasilisa, to answer your original question, one reason it's hard to find a man in America is because not many people walk the streets and socialize as they do in the FSU so you have to use other means to interact with men.
One problem I've since in recently divorced women is that they let their guard down when dating. They tend to be eager to get back into a relationship and forgot how to judge men other than their ex husband. Women who tend to been single for some time have experience seem to understand they may have to date many guys just to find a good man and a good match.
Vasilisa, you seem excited to get back into finding a good man and that's okay but understand you may be searching for months or years. If you make the wrong decision again, you could be living in hell for years. Maybe have a few children that you will be raising up on your own too. I'm sure that's not what you want. You made one mistake overlooking red flags. Ever heard of the saying "Fool me once, shame on you. Fool me twice, shame on me"? Don't make the same mistake twice. You're looking for husband material. Don't say "yes" to a man until you're sure of him.