I am curious to know which countries leans far to the right similar to American republicans. I am trying to get an idea of what USA would be like with very few democrats in power.
There's no "right". It's an meaningless vague generic term. Having gotten that off my chest, typically people use "right" in a multitude of meanings, so let's try a couple possibles:
Support for Economic freedom
Singapore is a stereotypical example (and is far more "free" than USA)
"Social conservatism" - often identified with views congruous with Judeo-Christian religious influence.
The best example would be modern Russia. It has high adherence to religious (and largely, conservative Orthodox Christian) views (e.g. the whole country's view on homosexuality is far less tolerant than most US Republicans; ditto for abortions or even first-wave feminism), low societal and governmental tolerance for social freedoms deviating from the norm.
Smaller government/smaller role of the State in people's lives (outside national security issues).
This one is rather squishy and vague (and, more properly is a libertarian than "right" view), but typically, people on libertarian forums point to either Estonia or Switzerland or Luxembourg as countries with less state involvement.
As a subset of that, lower taxes.
Basic Googling yields Andorra, Monaco and Jersey as countries with lowest taxes.
Opposition to (needless) reforms from status quo (the original meaning of the term "conservatism")
I'm going to go with Russia again.
Please note that this isn't a recent thing - Russian national character has been rather conservative for hundreds of years of history and required ruthless near-absolute monarchs to bring about top down reforms (from Peter the Great to Lenin). Heck, there's still 1 or 2 million "old believers" who adhere to religious conservative schism that goes back to 1600s; and the whole society still does (and did even in USSR) celebrate Christmas on Julian calendar.
: "US right" (or even "US Republicans") is a loose coalition of different interest groups, some of which hold widely different views on many issues and rarely agree on many specific things wholesale - other than which party they tactically support in a First Past The Post dual-party electoral system.
Oh, and those views also shift with time (As a good example, olden "right" was almost exclusively isolationist, before Teddy Roosevelt's jingoism. Then they were almost exclusively National Security Hawks through 20th century. Up until the rise of isolationism, coming from such mutually incompatible sources within the party as Ron Paul, Pat Buchanan and Donald Trump).
So, you can pick some specific position on a specific issue, but it will not necessarily be a natural representative of "The right".
 - not to mention the November the 7th, anniversary of Great October Socialist Revolution.
“The Right” is a very subjective term, and both of the major parties in America are reforming themselves constantly to win over voters as society moves in this direction or that. The center-right platform of George W was different from the populist platform of Trump.
In addition, there are not countries in the world that are as large, multi-cultural, and economically dominant as the US, and each country's unique history and cultural roots further distorts this. You will not find a country that is comparable to “the United States with less democrats”. That said, below are two charts.
The most ubiquitous of conservative positions is social conservatism, which is often conflated with the dominant religion of the region. For instance, Iranian principlists or the Russian United Russia who each claim the title for their parties of “conservative” and integrate values of their religions, Islam and Orthodox Christianity respectively, into their political values. Opposition to homosexuality and abortion, and support of “family values” are hallmarks. United States conservatives do the same with Protestantism, though to a lesser extent.
Economic conservatism is where things really begin to differentiate. Some are more economically focused on community – like France, and some are more economically focused on the individual – like Singapore. US politics, both left and right, are more economically focused on the individual over community than their other western counterparts – as an example here is a map of countries with universal healthcare.
If you held a gun to my head and told me to name a country with a dominant conservative party that was most comparable to the US I would say Germany – with the dominance of the CDU (Christian-Democratic Union), though they have with increasing regularity formed coalitions with the more liberal SPD (Social-Democratic Party). But again you're not going to find a country culturally and economically similar to the US with a dominant party similar to the US GOP, as even the DNC would be considered “conservative” by most other western countries.