Should a devoted son continue inviting his non-Muslim parents to Islam, especially since one of them advised him to avoid discussing religious matters with them for fear of misconceptions?

Debating with people of falsehood requires religious knowledge to repel their specious arguments. If this knowledge is not available, then one should be cautious about debating with one's parents on matters about which one has no knowledge, while frequently supplicating for their guidance and treating them with kindness.