Some individuals defy the consensus as to parties’ relative ideological positions, asserting that a party is more left-leaning than its rivals even when most observers have the opposite view. Such discrepancies undercut spatial models of politics. Rightward leaners’ tendency to use different, more self-anchored, bases for assessing ideology may make them especially likely to dissent in this way, as might their attention to distinct issues. Results from the Comparative Study of Electoral Systems confirm that those on the political right are likelier to reverse typical left-right orderings, even on right-leaning or major parties. Evidence from the Dutch Parliamentary Election Study further shows that right-leaners’ nonstandard ordering extends to parties’ specific issue-positions—particularly, notably, on issues of higher salience to the left. Standard models of politics may accordingly apply less well to those who identify as being on the political right.