We should thank secular values for keeping religion in check and forcing its reformation. BTW islam needs a deep reformation too ASAP if you didn't notice.
lol
In the West, secular values are Judea-Christian values. You can't separate one from the other, no matter how hard you try.
Sorry, but the arrow of progress usually comes from ideas outside of religion or at least outside of the fundamental, literal interpretation of religious texts. Democracy is not a Judea-Christian value, we got that from the greeks. And not from their religious beliefs, but rather from their philosophers. While there were Christians who fought slavery, the idea that slavery is immoral is not based on the Jewish nor Christian sacred texts which explain in detail who can be a slave, and how to treat slaves. 10 commandments, none of them even hint that slavery is bad. Gay rights? Nope. Women's equality? Nope. Religious freedom? Nope? Freedom of speech? Nope. Secular western society is a direct result of The Enlightenment which was not based on Christian theology, even though many of the participants were Christian. The Enlightenment was based on the belief that humans were capable of understanding how the world works and that we could and should use that knowledge to improve life before death. The Enlightenment encouraged questioning long held beliefs and assumptions.
Modern society is built upon The Enlightenment. So called Judeo-Christian values have evolved in response to The Enlightenment. Not the other way around.
But suppose you could. Why would one group's secular values be any better or worse than another's? Why would your secular values be better than Islam's religious values?
If you mean in some magical sense where the universe or reality at its core cares one way or another, no values are better than other values. But I assure you, some values lead to more flourishing and some values lead to more suffering.
Western society didn't rely on the Greeks until the Holy Roman Empire became Western society, so while Greek philosophy is part of our modern culture, it's because the Catholic Church embraced it that made it so.
And while modern society was built on the Enlightenment, it was based on the prior periods that were again under church influence? Why do we not marry first-cousins? Not because we discovered genetics because of the Enlightenment, but because long before religion said not to do so. Why do we have hospitals, orphanages, universities and legal systems? Again, not because of the enlightenment, but because the Catholic and later Anglican churches said to do so. Why do we care about the poor and homeless? Again, not the enlightenment or secular values, but deeply ingrained religious values handed down from generation to generation.
Not to be an apologist for the catholics, but you can't ignore the impact they had on Western civilization. One could even argue that if it weren't for them the Enlightenment would never had happened. Remember, unlike other denominations, they are the ones that upheld faith AND reason, not just faith alone.
Regardless, since culture and values are handed down from one generation to the next. The fact that in the past that culture and value system was heavily influenced by religion means that even today, our modern society is tainted by it. You simply cannot escape it. Don't get me wrong, all sorts of terrible things have been done in the name of religion but that doesn't mean that today's mores are not still influenced by that religion. Even the United States Constitution includes a freedom to express one's faith without government interference. If the US is the epitome of western society and values, it's first principle even deals with religion.
We are all products of our culture and our culture includes Judea-Christian values, whether we ourselves share those religious beliefs or not.