what’s the difference between fascism and a dictatorship?
Fascism is one of the most misunderstood political ideologies. A dictatorship does not indicate that it is fascism, nor is George Bush a fascist. Fascism's view on leadership is based on Nietzsche’s idea of a Übermensch or "Superman", who rises above the "herd" mentality of the masses and follows his own will and desires. It is a subsequent belief of fascism, that the masses of people need these supermen to lead them, for their own good, in this way fascists believe that their system is the most democratic, as it is expressing the "real" will of the people.
Fascism is therefore based and has been based historically on a strong leader, who has a "cult of personality" and whose will, has always been unquestionably right, as seen in the slogan in fascist Italy "Mussolini is always right".
Under all conventional meaning of the word, however, a dictatorship is what Fascism needs for it to function.

What's the standard politics held under a fascistic rule?
The two perhaps biggest philosophies that Fascists follow are Ultranationalism and Corporatism. Ultranationalism is just as its name suggests, a form of nationalism taken to its extreme, where the fascist nation state promoting the idea that their citizens are better than any other, that their nation is better than any other but also that their nation is involved in a struggle with others for dominance, naturally extending from this, imperialism is justified, so as to advance the interests of the nation state and to gain victories in the struggle against other nations. Also a sub section of this is that Fascism usually involves a "worship of the state" as Italian philosopher put it, which Mussolini often quoted "Everything for the state; nothing against the state; nothing outside the state". Corporatism, which is a sort of third way between Socialism and Capitalism, is influenced by the fascism strong belief that there should be "national unity" and therefore allows the government to have direct control over industry and labour groups, so the government control can avoid disputes between labour groups and industry, while also directing industries to make products which are in the "national interest".

Is Fascism the same as a libertarian-conservative militant dictatorship?
No, fascism seeks to have revolutionary change within a society and a change of human consciousness, conservative does not. Fascism's economic system is different, as described above. There are similarities to be sure, the problem however lies that Fascism is the less coherent of all the major philosophies and Fascists have had the tendency to follow policies, which allowed to their popularity to increase, so as to advance their major policies that of Ultranationalism and State Worship.

Are conservatives for a "free market?" in the sence of libertarianists?
Conservatism, just as all major ideologies, has internal factions and groupings. Just as Communism has Stalinism, Maoism, Leninism, Trotskyism, Marxism, Anarcho-Communism etc, Conservatism has factions as well, there is Pragmatic conservatism or traditional conservatism and Libertarian conservatism. Conservatives, however, generally support the Free Market and Capitalism, "libertarian conservatism" however, believes in minimal government, while traditional Conservatives support the Market and Capitalism, as far as it doesn't harm what they see as the greater good. Traditional conservatives will therefore advocate market restrictions on the sale of drugs, on the sale of pornography, because they believe the sale of these goods will harm society, as a whole and should therwefore be restricted.

I've done a few more for the original post on Anarchism, I'll post them a bit later on.