I strongly oppose a flat tax. Now if we were to reduce tax rates for everybody along with spending cuts, I might be open to that. But anything more is a non-starter with me.
The problem is not that the top 1% don't pay enough taxes, it's that overall, not enough people pay taxes. We are still living in a country in which not everyone pays their taxes. It's another problem that must be addressed.
Do you mean tax evasion?
And just to expand a little more on your post, you are correct that getting rid of national health care is DOA. We have already reformed the system and not only will it reduce costs by causing people to pay for some of their healthcare, it will cause them to make smarter healthcare choices which will lead to further cost reductions.