Unless something big happens that has the opposite effect
Yes there's always a risk of that. When a religion come under fire the followers seem to show more zeal in their beliefs.
People will also make excuses. I know that some Muslims will never accept intelligent life making contact with humans,
"If it was to happen, it would have been mentioned in the Quran or Hadith".
They've also been prepped for it in case it does happen, because I've heard conspiracy theories that 'evil doers' are planning to fake an alien contact.