I'm not sure what you mean by "retain multiple advisers" for the high nobles. Nobility in Ming dynasty was largely symbolic, especially after Hongwu era. Ming princes had titles and salaries but held no real domain. Nobility also sometimes bestowed to court officials, generals, or scholars with merit, again, no real domain, and not all titles can be inherited.

As for ideologies, Ming dynasty boosted Confucianism with the maturity of Imperial Examination. It was the "official" ideology of the dynasty. Note that the officials were trained in Confucian doctrines and some of them even disliked Daoism and Buddhism. Thus they were usually pro to the law suppressing Buddhism / Daoism.

The treatment to Daoism and Buddhism were depends on the Emperor. Hongwu initially treated Buddhism well in his early reign, since he was a buddhist novice before, but switched to harsher treatment in the later part of his reign. Emperor Jiajing loved Daoism and suppressed Buddhism, since Buddhism and Daoism had a long time rivalry. But Buddhism flowered again in Wanli era, thanks to the influence of the Empress Dowager who was a big patron of Buddhism.