Finding inner peace is a mission of any religion. And any religion contains tons of anti-scientific beliefs. The advantage of Buddhism is that some Buddhists teachers openly say: if some ideas from our scriptures don't match the reason and science, we are ready to abandon these ideas. None of other religions has this flexibility. Moreover, the atheistic core of Buddhism matches feelings of Christians who can't believe in god anymore but still need spirituality. Buddhism is based on faith too, but it doesn't require believing in samsara, karma, nirvana, non-existence of the soul, etc. You have a right to doubt. You can practice Buddhism just to feel better.

Most people won't probably follow any formal type of Buddhism but rather practice its components and components of its "cousin", Hinduism - New Age stuff.

However, moral wellness doesn't help to answer the main question: why is it worth living and what is worth fighting. Without these answers, Buddhism will die off with its European followers.

Now, we are at the point when most people, believing in science, consider humans a sort of biological filth killing mother-nature. This attitude will disappear at some point, as the century-long paradigm "human is the king of nature" ended. We'll find an answer and self-respect as a species, will mix it with Buddhism-like wisdom... and hopefully will find the civilizational balance.