I agree with the Free Press when they said that this particular project is an education centre more so than a museum. Much of the information will be displayed digitally. All taxpayers are paying for it, and yet the vast majority will never set foot in it, just like most haven't been to other national museums.
Since this one is more about conveying information rather than seeing physical objects (from what I've heard), all the text and video can be shared for a truly world-wide audience through a website.
If your goal is to display physical artifacts, then you need a building to do it. If you want to create a dinosaur museum, then you need a building to house bones. An airplane museum to house airplanes.
"Should we let the private sector fund the construction and operational costs of every museum?"
If it's going to be a private museum, then yes.
For a public museum, it's wrong to allow the private sector to put in some seed money to create something that is of questionable need, and expect the taxpayer to pay for a significant part of its creation and its annual upkeep, when governments are in record debt and will be instituting strong budgetary cuts. Since it takes years of planning to create a museum, put it on the ballot for an upcoming election.
If the Selinger government wanted to go further into debt to create a museum devoted strictly to the labour movement, partially funded by unions and their supporters, without any public vote, what would you say?
"It has been suggested museums should not be funded by the taxpayer. Do you agree?"
Put it on the ballot. The public may as well have a say in the creation of new, nice-to-have infrastructure. Government should fund necessary infrastructure and let the public vote on unnecessary infrastructure.
I am suspect of museums that are announced without the public having any say in how their taxes are being spent. And if the public votes yes, great, it should be supported. If the public votes no, then that's the end of it.
"How do we determine what is an acceptable taxpayer funded museum?"
Do what the Asper family very carefully refused to do: Hold press conferences, create websites and allow reporters and the public to ASK questions. Publish the results online. Let people see what the reasons are for and against. Then, a public vote seems to me to be the only fair way to proceed. It goes without saying that the media should also help convey information to help educate people.
Regardless how one feels about un-scientific online polls, they no doubt tap into some expression of public sentiment. From what I've seen from those who frequent so-called left-leaning, right-leaning and neutral websites, there is considerable mistrust of the rights museum organizers, partly due to the lack of perceived due dilligence, lack of perceived transparency, concerns with project management, outright racism, but also resentment due to the fact that this museum (seen by many as being self-serving culturally and a personal legacy tribute) was announced without a public vote.