Filing the points to a sharp end may help, the problem you describe is one of gauge in the turnout.
Suggestion;
Get a NMRA gauge, and check the track gauge at the points. After finding that the points are OOG, (Out of Gauge), and which way, too tight, too wide, then we can tell you how to fix it, or if it is worth fixing.
ScaleRails, the NMRA's mag, did a rundown of how close all commercially available turnouts were to the NMRA Standard, a year or so ago. Every turnout available except for ME, and Fast Tracks had problems. (Don't remember if CV's were evaluated or not.) Some of Atlas's problems noted were being OOG almost everywhere it matters, too wide flangeways and high frogs.