But electrons are considered to be point particles, so they would have infinite momentum in this case?
The product of the uncertainty in each is always at least some constant. They can still be point-like without you knowing where they are; and also knowing exactly where they are regardless of if they are point-like or extended means there is no defined momentum rather than it is defined as infinite.
That said: (a) you can’t pick a number from the set of Reals with a continuous uniform distribution, so I guess you can’t ever have perfect knowledge of the location ever even in principle, and (b) I’m self taught so likely only have a half-understanding.
Classical is R^3, quantum is R^3 -> C. (Sort of; this glosses over a lot.) Objects don’t really have a concrete location; they have complex-valued distributions.
Pontryagin duality of position/momentum (which comes from both QM and Relativity, depending on your perspective) rules out the physical existence of point particles. It would require infinite momentum to have zero extent.