It's obviously true that the Republican Party is uniquely abhorrent to people who are not white, compared to right-wing parties elsewhere in the English-speaking world. The Conservative Party in Britain has also made a particularly cynical attempt to pick up Hindu votes by exploiting anti-Muslim and Hindu nationalist sentiment (see Bob Blackman and Imran Khan's former brother-in-law Zac Goldsmith in London), but it's worth thinking about why this wouldn't work if the Republican Party tried this.
Politics from the old country are carried over when immigrants to the new country are organized along ethnic lines. I would suggest that this is most common when those immigrants are poor and need (or feel that they need) an intercessor in order to access public services. My parents, for instance, being highly skilled professionals in an expensive neighborhood, would not need to rely on an ethnic network because they receive high-quality public services by virtue of where they live. This is not generally true of Gujaratis in Leicester whether they are Hindu or Muslim, and this in turn leads to their political thinking reflecting the old country rather than the new.
This is also why in some places in England you will see Asian Muslims regularly delivering strong Conservative votes despite their compatriots voting uniformly Labour not too far away. In those places, the circumstances of political organization have led to the local Pakistani community being with the local Conservative organization. You don't see this in suburban America, where people of Indian descent are not organized in this way.
Btw things did change a bit in 2020 with the Hindu and Muslim vote :
Second, Indians of all religious faiths prefer Biden to Trump, but with important caveats.25 Muslim support for Biden (82 percent) is considerably higher than Hindu support (67 percent), which in turn is considerably higher than Christian support (49 percent). The latter community is also the most supportive of Trump (45 percent).
https://carnegieendowment.org/2020/10/14/how-will-indian-americans-vote-results-from-2020-indian-american-attitudes-survey-pub-82929
