Why do some minority groups (in-groups) support other minority groups (out-groups)? Conventional wisdom suggests two key factors connecting different marginalized groups: (1) common in-group identity, such as stigma-based solidarity, and (2) shared interests that arise from supporting other marginalized groups. However, one limitation of the existing literature is its reliance on small survey datasets or survey experiments based solely on responses from undergraduate students. To broaden the applicability of these findings, this paper utilizes the European Social Survey (ESS) dataset, which is a comprehensive survey resource. By employing logistic regression models from both Frequentist and Bayesian perspectives, the study found that individuals who identify as part of sexual minorities and believe they have experienced discrimination based on their sexual identity tend to have more positive attitudes toward immigrants. In contrast, those who do not identify as sexual minorities and do not feel they have faced discrimination demonstrate less support for immigrants. These results align with existing literature on sympathy, suggesting that individuals project their own experiences onto others.