There is more intermarriage with Hispanics, definitely, but then Mexicans, for example, are around 50% European, and certain ethnic groups are even more European. Many Cuban Americans are, for example, virtually "white", with only a few percent of "other" ancestry. Even then, it's very much "class" dependent and location dependent. Other than for Cuban-Americans, some Venezuelans and Argentinians, there isn't all that much admixture in upper middle class or upper class areas on the east coast. There may be more inter-marriage with Hispanics in really heavily Hispanic areas. Hollywood is a situation apart.
In California there's definitely more inter-marriage with East Asians. I don't see it here except in rare situations. Most East Asians live in virtual "ghettoes", not in a socio-economic sense, but in a geographical sense. There are whole areas in Queens (one of the boroughs of N.Y.C.) that are now all East Asian, although they were formerly Jewish or Italian or Irish. Those people have moved out to the suburbs. I wouldn't say they are regarded as "white". One of the nicest boys in my daughter's class was the son of an Irish mother and a Chinese father, a very well respected doctor in our area. I saw him one day at the pool and happened to remark that he was a "catch": smart, good-looking, nice, kind personality. The woman sitting next to me said, yes, but he's half-Chinese. Wouldn't that bother you? No, actually, it wouldn't have bothered me, but it's not worth arguing with some people.
As I said, there's definitely more inter-marriage than there used to be, and will probably be more, but for now, there's an awful lot of self-segregation going on.
Oh, and other than some fringe nut jobs who are members of white nationalist groups I don't know anyone who wouldn't consider Jews "white".