A picture is a thousand words. In this case, a graph is a thousand words. The depiction of ideologies on a straight line can be very misleading. If we do it on a plane is still an oversimplification but much better than a straight line. In this case the two parameters are income inequality and statism. Statism is the degree of state interference.
Fascism is a type of socialism different than social democracy. In terms of statism and income differences they are similar. Fascism is authoritarian while social democracy democratic as the word implies. They both favor corporatism. It is not the rule of corporations as someone may derive from the word. It favors harmonic coexistence and cooperation among all elements of a society.
Third Way tries to combine elements from social democracy with some right elements. We distinguish between the ideological and the real position. In terms of income inequality, the ideological position is close to social democrats. In reality, they are not far from EPP (European People Party) and Republicans. Third way is what moderate Democrats in USA propose. Third way was England’s Labor Party under Tony Blair and Mateo Renzi’s Democratic Party in Italy.
Ultraglobalists spread along all political spectrum but mostly are concentrated around the center. Third Way is very close to their ideology. They are mostly left and right liberals.
The word liberal, in USA refers to left liberals and in Europe to right liberals. The word libertarian, in USA, refers to right libertarians and in Europe to left libertarians. That creates too much confusion. Libertarians and liberals are on the left and the right. They all favor liberty but in different way. Liberals want the state to guarantee liberties. Libertarians want the state out of their lives. They want freedom from state interference. Liberals want more statism than libertarians.
Right libertarians are minarchists or anarchocapitalists. Minarchists want a night watchman state, as small as possible. Anarcho-capitalists want no state at all. Under those two systems, income differences tend to be very big.
What left libertarians have in common with right libertarians is opposition to statism. There are many varieties in left libertarians, anarcho-communists, collectivist anarchists, etch. They have some small differences. They propose cooperatives in all economy and very small or no income differences, similar to those found in communism. This is what all communists have as a final destination, a classless, stateless society where people will cooperate voluntarily. Communism is a way of getting there. Communists and left libertarians agree on the final destination but disagree on how to get there.
Wanting all economy to be cooperative has some coercion which is the opposite of liberty. Center Libertarianism does not currently exist as an ideology. It favors coexistence of cooperatives with other forms of businesses and income differences that are in between the two extremes found in left and right libertarians. Center libertarianism wants no state or a night watchman state.
If we put some more statism to a slightly lesser level than what Republicans or EPP European People Party propose, we get Fifth Way. It has a left option and a right option as it can be seen from the graph. Off course these are only two parameters, statism and income inequality. Fifth way is a centrist ideology like Third Way but different one. Third Way is liberals' center while Fifth Way is Libertarians' center with some state. As there is not one Right and one Left, there is not one Center.