Each of these terms means (1) "a specified manner of appraising or judging" and (2) "an opinion, judgment, or attitude": "From my point of view (or viewpoint or standpoint) your suggestion is unworkable." All three expressions are standard. Viewpoint is not recommended by some linguists because it is considered an awkward shortening of point of view, but this objection has been overruled by usage. A few purists have pointed out that standpoint is incorrect since one cannot stand on a point, a stupid comment since point here does not mean a physical point but a mental position. The only possible objection to any of these terms is that they are tiresomely overused and often are unnecessary."From the moral point of view" says nothing that morally doesn't."From where I stand" is mere wordage. Use any of the three terms sparingly and avoid meaninglessness.
Dictionary of problem words and expressions. Harry Shaw. 1975.