Yet his critics on the right

You need to understand about political terminology, specifically what "left" and "right" mean in a political context. Outside the USA, traditionally, the left includes: progressives, social liberals, social democrats, socialists, communists and anarchists while the right includes: conservatives, fascists, reactionaries, monarchists and nationalists.

However, in the USA (surprise surprise) it's a bit different. The whole arena of politics is shifted rightwards, that is, a political position that would seem centrist or even slightly right-of-centre in Europe (for example the British Conservative Party) would be seen as "left wing" in the USA.

There are two main political parties in the USA, the Republican party (right wing in American terms) and the Democratic party ("left wing" in American terms, but see my remarks in the previous paragraph).

Barack Obama is the Democratic president of the USA, and this means that there are plenty of people (on the "right") in US politics who consider him and his policies "left wing".

The terms left and right have been used to refer to political affiliation since the early part of the French Revolutionary era. They originally referred to the seating arrangements in the various legislative bodies of France, specifically in the French Legislative Assembly of 1791, when the king was still the formal head of state, and the moderate royalist Feuillants sat on the right side of the chamber, while the radical Montagnards sat on the left.

Just because a person is pro monarchy does not mean they are conservatives.
70% of the Swedes are for our monarchy but 70% are not conservatives.
The same numbers you can find for Denmark and Norway it might be less but I don´t have the exact numbers.

It must be specific to northern countries. In most southern countries, monarchy equates with conservatives..

which left the left on the left right

saab, you are right. My remarks were not intended to be definitive. Just a rough guide to the concepts of "left" and "right". It is probably true that all communists are opposed to the idea of rule by a hereditary monarch, while not all (say) Social Democrats are opposed, and probably not many Conservatives. The situation in Great Britain is probably similar to that in Scandinavia. In a telephone poll for the BBC, 78% of respondents agreed that Britain should still have a royal family and 19% disagreed.

oolongteasup, is your question intended to be some kind of joke? It is a little puzzling.

We should define our terms carefully. The word "monarchist" can mean somebody who merely assents to the existence of (or at least does not oppose) the present royalty in the country in which he or she lives now, or it can mean someone who is fanatically enthusiastic about all the trappings of royalty.

In my own country, there are plenty of people who feel that the present system of constitutional monarchy is probably more or less OK, and probably better than many alternatives, so that it may as well be left alone, and there are also quite a lot of people who wave flags when the Queen visits their town, and a few eccentrics who worship the Royal Family.

It can also have a historical meaning. For example in the earlier part of the 20th Century, the French Action Française movement, deeply monarchist, was antisemitic and far on the right. Some people might want to make a distinction between "monarchism" and "royalism".

There are plenty of right-wing people who love what they call "tradition", which often seems to mean a return to past ideas of social deference and socially and racially divisive policies and attitudes, and these people often claim to be proud supporters of the monarchy.

critics on the right = those in the opposite political party who are often critical of Obama.

There are also many who wish communism back and think Stalin was a great leader. I would call them conservative too, even though they are to the left.

I would not disagree, but I think that it hardly needs stating that if you were going to use that word in that way, you would probably place it in sufficient context that a reader who already knew the other meaning of "conservative" would not be confused.

This is a thread answering a question from a learner of English about the meanings of "left" and "right" in a political context. I sadly think that it is neither helpful, nor particularly relevant, to divert the thread into a nit-picking digression about nuances such as you (and I) have done.

You are so right.... no better is in this context to say you are correct.