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You're talking about the social politics of liberalism? Typically people will use more of a compass to better describe the intersection between social and fiscal policies. Fiscal is the left to right, Liberty is the bottom to top, and some even add a Z axis for progressive vs regressive.

While there are different flavors, American liberalism is considered right of center on fiscal policy but less authoritarian on more personal freedoms than conservative views. Ie: both support big business, but liberals are more okay if you're LGBT+.

Excerpt from Wikipedia about classical liberalism: "In the context of American politics, "classical liberalism" may be described as "fiscally conservative" and "socially liberal".[55] Despite this, classical liberals tend to reject the right's higher tolerance for economic protectionism and the left's inclination for collective group rights due to classical liberalism's central principle of individualism.[56] Additionally, in the United States, classical liberalism is considered closely tied to, or synonymous with, American libertarianism."