Certain communities within the Jewish world are more insular than others, and some born-Jews are less comfortable than others with conversion. While the guy you describe may not be comfortable marrying a convert for the reasons he states, there are plenty of Jewish men who are perfectly willing to marry a convert. Don't forget, men and women have historically converted in order to marry Jews.
The reasons you state for his discomfort are real, but cut both ways. I don't belong to the same religion as my mother, but neither does my ba'al teshuva husband relate at all to his secular Jewish parents in a religious way. It took a lot of time and water under the bridge for our families to get over our choices, but it happened. My kids love their grandparents and are adored by them in return. They have a wonderful time with both sides of the family, since religion is only a part of who we all are.
As for setting a precedent of leaving the religion of one's parents, that's something converts should be honest about with their children. Mine ask me about my conversion a lot, and I answer them honestly (and age-appropriately). They are proud to be Jewish and probably always will be. I doubt there are any higher statistics for children of converts leaving Judaism than for children of born-Jews. If anything, I suspect the opposite since someone who chose a faith out of desire and conviction may be a more compelling example than someone who was born into the religion and does it because it's what he or she was born to do.
Jewish law states that one must love the convert. Unfortunately, it feels as though born-Jews don't always know how to do this, and end up treating us as second class or suspicious characters. Keep looking though---there are plenty of great ones out there who will appreciate you for who you are and for what you've done.