A few thoughts after reading this thread, mostly on statistics and research. I looked into these questions about five years ago, so what I say about the data sets may be slightly out-of-date, but not much.
First, even though all cultures have forms of cultural and/or religious misogyny or at least aspects which are contemptuous of women, what also matters is how common and how widely approved misogynistic practices are.
This does vary by culture, so that rape rates, for instance, are different for different countries which record them in fairly reliable statistics, and what kind of treatment of women and girls local laws allow also differs.
Not all cultures are alike, and it matters how frequent and severe, say, street harassment is and what form it commonly takes. This is something we need to study, record, and discuss so that the world overall can be made a safer and freer place for women and girls.
Second, to make sense of the statistics on sexual crimes committed we need to compare the rates of various ethnic/racial/national origin offender groups in the crime statistics to their population percentages:
For instance, if white men are 87% of all men in the UK (not sure if that's correct today), then if their share in those convicted of sexual crimes is more than 87% we could tentatively state that they would be over-represented in the sexual crime statistics. If their share in the sexual crime statistics is less than 87%, they would be under-represented. And so on, for all ethnic, racial and national origin groups.
In other words, stating that white men are some large percentage of the offenders sentenced for a particular sexual crime does not, alone, tell us anything about which groups are proportionately more or less likely to commit sexual assaults in general, given that white men here are the majority of men.
This is not directly relevant now if the data has not been collected in the UK at all, but it is relevant for interpreting data from other countries.
Third, some five years ago I searched for data on the question this thread discusses. I found some methodologically good data for three Nordic countries and will look for my references if there is interest in seeing them. I had some of it translated by a friend so the summaries are available in English when the originals are not.
But the gist of those is that certain immigrant groups (not all) were clearly over-represented among those who came into the attention of police in cases of rape (sources of origin in Northern Africa, Middle East and Somalia).
Fourth, at the time I read several studies about crime in immigrant communities in general. These were older ones so were not specifically about the most recent waves of immigration, but they all found that rates of crime tend to be higher among recent immigrants than the native population and listed several reasons for it (cultural isolation, mismatch between skills of the entrant and the local job market including language skills, past traumatic experiences). These studies were not on sexual crime as much as on economic crime but some of the same factors probably affect the former, too, including different cultural beliefs about how women and girls are expected to behave.