No because look at Gustavo Dudamel of the LA Phil who has a wife and a baby boy.
http://latimesblogs.latimes.com/culturemonster/2011/04/gustavo-dudamel-and-wife-welcome-baby-boy-martin-in-la.html
Kurt Masur. Is on his third marriage to a women.
"Masur was born in Brieg, Lower Silesia, Germany (now Brzeg in Poland) and studied piano, composition and conducting in Leipzig, Saxony. Masur has been married three times. His second wife, with whom he had a daughter, died in 1972 in a car accident in which Masur was severely injured.[1] He and his third wife, Tomoko, have a son, Ken, a classical singer and conductor.[2]"
Dutoit, is on his fourth marriage to a women.
"Dutoit shuns publicity and protects his private life from the media. He has been married four times, including a marriage to the world-renowned concert pianist Martha Argerich, to the economist Marie-Josée Drouin, and to Canadian violinist Chantal Juillet.[7] His first marriage was to Ruth Cury, by whom he has a son, Ivan, who lives in Santa Monica, California with his family. He also has a daughter, Anne-Catherine, by his marriage to Argerich"
You have lots to learn Yang about the classical musicians, just because they are in classical music doesn't mean they are gay.
It's interesting because Orchestras in Europe don't seem to be struggling for example.
Medium sized cities in France (eg Lille, Lyon....) can keep a symphony orchestra, an opera house, choirs, period performance orchestras, etc? Nothing is hunky-dory, but somehow they manage.