Is the world becoming more right leaning?

Zeitgeist is moving towards the right and populism as a whole, particularly in young people (18-40) - MAGA, UK, Italy, France, Germany are high-case examples of how the young are buying into anti-incumbency & populism with high-inflation, high-immigration, higher taxes, failing public services etc. Pollievre in Canada for example offers a policy stance for getting young people on the housing ladder which i think is what the populist right need to do to win younger voters

The right is probably winning the arguments on immigration, climate and is becoming more sceptical of the capitalist model, much of these right-wing populist parties reject and hate neoliberalism which is why in a two-party country, they probably are fed up with the two main governing parties (Tories & Labour, pre-Trump Republicans and third way democrats etc)

I'm by no means a populist; i believe elections are won in the moderate centre. But populism isn't always a bad thing if the feedback is incorporated, it's a good way of the centre to reinvent and adapt itself to actually focusing on delivery - i think a big deal of why populists (both on the right and left) are flourishing is because the establishment parties have failed on basic competency, set unrealistic targets and focused more on dominating media coverage than getting on with using government as a policy-dictating machine. By just calling Maga or Brexit voters uneducated racists, you're not gonna defeat them, you actually have to understand what sways the average car manufacturer worker in Michigan to vote for Trump before just labelling them deplorables like Hillary did for example. Brexit, both Trump wins, Reform doing well in 2024 albeit only 5 seats and the rise of the right in Europe (some of the central and Eastern European parties are alarmingly fascist/neo-Nazi like) are down to a lot of the centrist/soc dem/liberal conservative mainstream parties not understanding or learning from previous mistakes as to how to argue against anti-establishment parties

At OP, short answer, yes, probably. 

I'd say the reason is the left went so far left that it made more people question. The same thing will happen as we swing back right because most people feel they need to keep going harder at an idea. And politicians are people. Think about companies, most lose their defining factor when they try to go mainstream, i.e., apply to too many people. Problem with politics is, they all start from a good place (I think?), and just evolve into something that gets dumber over time. 

For example, the movement from what we would call "the left" started in a good place; let's judge people by who they are not how they look, try to give everyone reasonable opportunity, make things as fair as possible; all good things. Over time, it's evolved into "peanut butter sandwiches are racist", every man in history before 1994 was the most horrible person ever to walk the earth, and if you get stabbed by a homeless immigrate you should thank them. Mainly because, politicians can't run on "every now is basically good", they have to run on "there are problems only I can fix". So I believe people will go along for a little big, but eventually they look at how extreme things are getting and they want to go the other way. 

The right side will have this issue down the road as well. The main problem, I believe, is a lot of this stuff has to live in harmony, but as I stated above, politicians will tell you it can't. Take immigration, yes, we can't accept literally everyone illegally, we should have system. However, on the other side, if we cut off all immigration it would probably be tough to run the economy, watch the price of things go up, esp things people enjoy, like dining out. So we need a middle group of basically illegal immigrants who can't get documentation to work to run a lot of industries in our country, but people live on one side or the other.