I agree with Naeb. It’s easy for us to say that you should stand up for your beliefs, but I do believe you should. You are an adult and should stand up for Jesus. Don’t deny him. You must love God more than your parents, or spouse, or sisters or brothers, or children.
Now, I’m not in your situation and have no first-hand knowledge of your culture, but you said the worst that would happen is
If I refuse, they would think that I am not filial piety to the ancestors.
So what would be the consequence of this? Just some harsh words or looks? Jesus put up with this and more. I don’t know where you are exactly, so if you’re in China perhaps there would be worse penalties if you are reported?
What is more important, your faith or staying in your parents’ good graces? Are you still living with them?
Do you have access to a priest you can discuss this with? If what I have heard is correct, it is hard to meet as Catholics in China. Do you have access to an underground church? Obviously don’t answer these questions here, publicly, in any way that can get you in real trouble.
This isn’t the same as your situation, but in my college philosophy class, I had a very intimidating, harsh, militant atheist for a professor. He raved against Christianity. At the beginning of the year, he demanded that anyone who dared to believe in God needed to stand up.
I was the only one who did. He ranted and yelled at me and cursed my stupidity. But I made it through, kept defending God in my papers, and still got an A in that class, thankfully.
Now, you’re in a completely different situation and I’m sure in your culture it is very, very hard to live as a Christian. I applaud you for trying to be a true Catholic and live for Christ. I would encourage you to be faithful to God in this situation and refuse to bow down to idols.
God is asking you to go through similar trials like the early martyrs suffered when they were asked to bow down to statues of the Emperor. St. Paul said to count all these sufferings as joy, because we are counted worthy to suffer for Christ. He would be an excellent saint for you to study because he suffered so much persecution.
God bless you!