Warhawk, I've lived in Singapore and travelled to Japan.
There is no reason not to eat American-style Chinese food with a fork and spoon. Singaporeans of Chinese descent shovel rice into their faces holding a spoon in their right (!) hand. So there is no reason you shouldn't when eating something that is basically stuff over rice.
In fact, during my very first lunch in Singapore, a random worker from the office's cafeteria came up to me, took my chopsticks, and gave me a fork and spoon. My co-workers were mortified. They said my chopstick technique wasn't that bad, but nobody eats that way so the cafeteria staff was trying to help. My Asian friends tell me that using chopsticks correctly is a dead giveaway that I didn't learn to use them until I was an adult!
Singaporeans believe they got the spoon-as-shovel from the British. I am pretty sure Her Majesty the Queen doesn't shovel rice into her mouth with a spoon in her right hand, but the story and the practice does seem to be common in Southeast Asia. Singaporeans will use chopsticks for larger pieces when rice isn't involved. But actual Asian people do eat actual Asian food with silverware.
Japanese food I have to eat with chopsticks, even at home when nobody is watching. Stabbing a piece of sushi with a fork would just be wrong.
I didn't learn until I was in my 20s. On a trip to Japan, I was eating rice with a fork to not make an embarrassing mess in front of my Japanese friend's parents, and I realized that it was actually easier to use chopsticks, probably from all the practice I had in the first part of the trip when there weren't any forks around. (My friend's parents were pleased at my discovery, of course.)
Actually, tonight I happened to have Korean food, consumed with chopsticks. I am not really fussy about how I eat Korean food, actually, but they only had chopsticks at the restaurant.
So I think I am recommending that you should either not worry about it, or travel to Asia.