It’s also possible that secular society creates effective off-ramps to convert the hyper-religious to secular values. I’m uncertain if this will work given how successful the in-group remains despite the internet and modern social media.
Many ultra-Orthodox Jews use "Kosher Internet filters" – filters that block content that isn't approved by their rabbis. In Israel, you can buy "Kosher phones" which have this software pre-installed by the telco and locked down so you can't remove it.
People assume that technology necessarily encourages secularism, but it doesn't inevitably do so. Technology also makes possible new methods of social control which can be used to suppress secularism.