You are not the only one experiencing this. Online dating services may not be the best place to start (some of the individuals on those seek either a long term commitment/marriage or just to date/sexual intimacy w/o any strings attached)
No one regardless of their physical appearance should treat another person as a loser. That again is the wrong crowd to be with.
Being a foreigner myself, don't assume that foreign women are 100% different. Everyone has something that they need and want from a partner. Figuring out what is it that person wants/needs may help you in your search. Of course, if you have not tried dating/connecting with foreign women, you ought to give yourself a chance.
The feeling of not being a man (is not something that should be externally caused) No one should make you feel anything. It comes from inside. Perhaps it is your disappointment and the time it is taking to find someone that is causing this (and it has nothing to do with your masculinity)
Some men and women (do not want to just gratify their sexual needs. They are seeking a purpose and a passion in their life)
Suggestions- do not rely too much on dating websites or church singles dating services. You may want to look into actual dating services offered in your area (a place where you go to and are screened/profiled and evaluated for possible matches) If you have interests such as sports, collecting/hobbies, going to lectures, etc. try to connect with women at those functions.
Try to be open and non judgmental (each person has flaws) be patient and focus on the positive possibilities. Do not try to impress someone too hard. Just be yourself.
You would not have to explain anything to those sort of people. It shows you where their priorities are. You are human yes. You can care what others think to an extent.
About being yourself comment- what if the women after some time realizes that you are more than what is on the surface. Women want someone they can trust. If they can not trust the person, then that creates a problem (you won't find someone for a long term committed relationship. Maybe someone superficial. It did not seem that is what you wanted. I think that being genuine is a goo thing. You can still impress a person by being yourself. They are after all falling in love with you- the individual. Every reasonable woman should have reasonable expectations of others including men. Nothing is simple in life. People make it more complicated.
Please clarify - what do you mean a sense of apathy in a relationship? From one or both partners and at what stage in the relationship.