Political polarization has become a persistent problem in many societies. It refers not only to divergent ideas, but also to the ways in which we talk about each other. Previous studies show that we tend to overestimate how much other people dislike opposing political groups, inducing cognitive distortions that intensify conflicts between groups. This led us to ask whether people also overestimate the appeal of extremes within their own group. In this work, we conducted two studies (Study 1: N=140 and Study 2: N=100) where participants first placed themselves on a 7-point political ideology scale (1 = extreme left to 7 = extreme right) and then rated their level of attraction and positive/negative feelings towards each of these positions. Critically, participants responded under three different perspectives: i) personally, ii) as an imagined typical member of their own political group, and iii) as an imagined member of the opposing group. Across both studies, we observed that participants systematically overestimated the extent to which opposing groups were attracted to their own ideological extremes, while also overestimating their own group's preference for ingroup extremes. These findings reveal that when people interact with others, there may be a misperception of their preferences, contributing to the intensification of political divides. Overall, our findings suggest that correcting these metaperceptions may reduce political division and hatred in polarized societies.