Actually, Syrians do not accept adult geirim. If a child is adopted, and needs giur, he is converted and fully accepted. This taqana was enacted in the early part of the last century – men were travelling on business and returning with wives whom they claimed had converted.
The taqana is quite stringently enforced in America and South America (the communities for which it was enacted). Several years ago, there was a ger from Israel who had married an American Syrian woman. He was not given an aliya in the NY shuls. When he complained to Hakham Obadia Yosef, he was told, “Come to Israel and you will be called up to the Torah- in NY, the taqana remains in effect.”
The community does NOT has veshalom treat geirim as non-Jews; they are accepted for edut, etc. However, they are not allowed to marry in.