Thank you Mr. McConnell again for your great comment!
I agree that private businesses are indeed more competitive then the government. When you are referring to crowding out, are you referring to the loanable funds market?
In my humble opinion, considering that both are similar though, I think it would make logical sense that the AD-AS model can be split up into one for investment and government spending. Thus a reallocation of money from one of those two to the other would likely cause the effects in demand pull inflation as well as reduced output in my humble opinion.
Perhaps even if one was more efficient such as the private industry, maybe the shift to it would do more harm then good, as I stated previously, because of inflation, etc.
It's nice that you have a lot of free time sir! Not all of us have that. :)
Again, your English actually sounds great!