Final answer:
The ideology that typically views sexual preference as a non-important issue for government intervention is the liberal ideology. Liberals are more likely to support individual freedom and equality, including the rights of the LGBTQIA+ community, while conservatives often emphasize traditional values and may oppose changes such as legalizing same-sex marriage.
Step-by-step explanation:
The student is inquiring about which ideology, liberal or conservative, considers sexual preference as a non-important issue. Traditionally, conservatives tend to hold views that emphasize traditional marriage and often oppose changes to the status quo, such as the legalization of same-sex marriage. Conversely, liberals are more likely to support the idea that individual sexual preference should not be subject to government regulation and embrace the legalization of same-sex marriage as part of a broader commitment to individual rights and equality.
From the information provided, we understand that the ideology that typically believes sexual preference should not be regulated and considers it a non-important issue for government intervention is more aligned with liberal perspectives. This is inline with the broader liberal agenda that advocates for personal freedom and equal opportunity, supporting the rights of the LGBTQIA+ community and often opposing practices like "conversion therapy" that are based on the belief of sexuality as a choice or a mutable characteristic.