If they were leftwing...
1. Why did conservatives immediately recognize the fascists as allies ?
2. Why did powerful conservatives help the fascists into power as King Victor Emmanuelle invited Mussolini and Hindenburg invited Hitler ?
3. Why did facsists never suppress the right, allowing it to survive intact ?
Formulating the question that way is a poor choice. Also, you're mixing fascists with nazis which is sloppy.
2. Why did powerful conservatives help the fascists into power as King Victor Emmanuelle invited Mussolini and Hindenburg invited Hitler ?
Hindenburg hated "the little corporal". It was politically expedient to form a coalition with the national socialists. Hindenburg resisted this for quite a time, but ultimately had to acquiesce or lose his own position of power.
3. Why did facsists never suppress the right, allowing it to survive intact ?
You don't define any of your terms. Did the Nazis suppress the Right? What is the Right? Perhaps it's "The-People-Hitler-Did-Not-Suppress". In which case the statement is worthless.
The Nazis had strong government control of the means of production. Didn't own it (they were not Marxists), but they sure controlled the national economy. Also, the Nazis did not respect private property. They were atheists. They supported gun control. They had huge government welfare programs. Stop me when I hit something that the Democrats wouldn't support ...
"3. Why did facsists never suppress the right, allowing it to survive intact ?"
Stalin, being actually much more viscious than Hitler, first got rid of the moderate politicians, then the left, and then he nailed the right. A grand slam. He got them all. Then they had a dictator, him.