Regarding your three bullet points above:

1. It's rude to start refuting an idea before you've finished defining it.

2. One of these things is not like the others. There's nothing wrong with giving us a history of constructive thinking, and providing us with reasons why outdated versions of the theory were found wanting. It's good style to use parallel construction to build rhetorical momentum. It is terribly dishonest to do both at the same time -- it creates the impression that the subjective reasons you give for dismissing point 3 have weight equal to the objective reasons history has given for dismissing points 1 and 2.

3. Your talk in point 3 about "map-territory confusion" is very strange. Mathematics is all in your head. It's all map, no territory. You seem to be claiming that constructivsts are outside of the mathematical mainstream because they want to bend theory in the direction of a preferred outcome. You then claim that this is outside of the bounds of acceptable mathematical thinking, So what's wrong with reasoning like this:

"Nobody really likes all of the consequences of the Axiom of Choice, but most people seem willing to put up with its bad behavior because some of the abstractions it enables -- like the Real Numbers -- are just so damn useful. I wonder how many of the useful properties of the Real Numbers I could capture by building up from (a possibly weakened version of) ZF set theory and a weakened version of the Axiom of Choice?"