Actually, there is infinite space between all points. First you half to get half way there, then halfway from there, then half way from there and so on. eventually you reach points beyond infinite smallness.
Erg!
There must be a minimum unit of measure for anything physical to ever get anywhere, whether those things are atoms, electrons, or whatever. The 1/2 of a 1/2 of a 1/2 fallacy can be disproven by throwing any object at any other object. Even if you say it's only the fields around the objects colliding, those fields can only collide because they've been able to move more than that minimum distance.
But that doesn't mean all things require size, or even distance. But for those that do, there is a minimum.
And a point, line, and plane are all concepts, they have no physical basis, even if there is or isn't a smallest thing.
As for my own religious views, the only things I'm sure of is that it's highly unlikely for the Christian style of concept of God to exist (too many logical and philosophical contradictions) and that I hate Catholicism (but that doesn't mean I hate any particular individual Catholic). I believe wholeheartedly that whatever is or isn't out there,
it doesn't matter. If such a divine entity existed anyway, it would be so far beyond our scope of understanding as to be uninfluenced by our perceptions, and especially by our worship. I believe that what
does matter, and the only thing that matters, is that we all live a good life, and do our best to let (and help) others to do so as well. If there is an entity that rewards us, that is what will be rewarded. If there isn't such an entity, then those actions are how we should be living anyway.