I can't speak for anyone else, but the Abrahamic[0] (and most other, but you appear to be referencing monotheistic ones) religions are based on "evidence" that is demonstrably false.
The simulation hypothesis, just like your "Old-time religion" isn't falsifiable and, as such, can't be addressed in empirical terms.
That said, given advanced/sensitive enough measurements[1] (which are unlikely to ever be viable), there are at least a few potential experiments that could falsify the simulation hypothesis.
Abrahamic religions, OTOH, make claims that are, based on already collected data, demonstrably false.
That's why I don't reject the simulation hypothesis out of hand (although I don't take it all that seriously either), while I do reject the claims of Abrahamic (and most other) religions.
[0] https://en.wikipedia.org/wiki/Abrahamic_religions
[1] https://news.ycombinator.com/item?id=27259212 (an, admittedly poorly formed, hypothesis, but something potentially measurable)
Edit: Added link to "poorly formed hypothesis."