I'm an Australian. When I was a kid I spent a month in the USA. It didn't seem like a foreign country at the time since culturally Australia and the USA, even back in the '70s, are fairly similar. In terms of language I was a bit surprised. There was a couple from Texas that were friendly and wanted to chat. The thing was they were difficult to understand because they stretched out their vowels so long you could hang laundry on them.
Also, when I stayed in Hawaii, I couldn't work out why some of the locals couldn't tell the difference in accent between me and a group of girls from England staying at the same hotel. The girls were nice enough but I could tell straight off they weren't from Australia and they could tell straight off I wasn't from England. Actually, we got along well comparing notes as to where we came from. After that early episodes of MASH made me laugh when this fellow that was supposed to be an Aussie turned up. Despite the way he was dressed, he was definitely more British than Aussie.
Still I loved Hawaii and have great memories of New Orleans and its street artists.
I enjoyed my adventures on the street cars of San Francisco. I marvelled at the redness of the Golden Gate Bridge. I wondered why it wasn't painted gold or at least yellow. I travelled along it aware that it was a clothes hanger just like the Sydney Hardbour Bridge only a tad longer.
Some years later I visited Bali and found a mixture of poverty and optimism. The optimism of the late seventies was winning out. This was before the bombing at Kuta. I was saddened by this act of terrorism and so were the Balinese living in Cronulla, NSW at the time. Their own people as well as ours were hurt by it. We had no hard feelings towards them, just the bombers who came from elsewhere in Indonesia. I think the smiling bomber who was caught became the most hated man in all of South-East Asia for a time.
I think you can learn a lot about yourself and your culture when you travel overseas. I have never tried to impose my beliefs on anyone when travelling. Mind you having a sense of humour and a willingness to explore does help.
Years ago people from overseas tried to force their values onto the south coast beaches of NSW. They were against women wearing bikinis. By mistreating our women and hitting a life guard who had just saved a life they caused a riot.