Heritage Foundation? Rand Corporation? Cato Institute? American Enterprise Institute? The institutional right is unimaginably huge and well-funded. Half of them even have "institute" in the name.
All the policy since they source most of the ideas and especially political strategies. Since the early 2000s they ("they" now extending beyond just the think tanks listed previously) directly control the media by sourcing/compiling news for all major sources, so they basically control all political opinion. After a brief respite from their influence on social media, they seem to now do a pretty good job of influencing the influencers there as well.
Heritage Foundation: starting with Reagan and encouraging the right's obsession with smaller government, was a large advocate for us going into and staying in Iraq, and was a major influence on Trump - at least 66 foundation employees worked in the administration and advised Trump who should be in his administration, including advocating for Mick Mulvaney when other Republicans were pushing against him. After his loss, they hired three of Trump's immigration team. They have also promoted the voter fraud claims about 2016 and 2020 elections, saying that it was "rampant", and also are heavy deniers of climate change, the Clean Energy act and Kyoto Agreement.
AEI has been a little less controversial, although they've also leaned heavily on politicians about climate change, and their biggest funders are/were the Koch brothers. Notably, they were one of the earliest predictors of the 2008 housing crisis, though their focus (while not entirely incorrect) was about the causing effects of government banking, rather than private sector greed.
The Cato Institute is another organization founded and funded by one of the Kochs. The Cato Institute has lobbied hard for the deconstruction, outsourcing and privatization of the USPS (to recent great success), NASA, TSA. They have lobbied for the abolishment of minimum wage and in the absence thereof have fervently pushed for not increasing it (which hasn't happened since 2007 - legislation-wise, though the last increase went into effect in early 2009). It opposes overtime regulation and of all things, child labor prohibition (thankfully this hasn't gained much traction). It is one of the biggest opponents of universal health care, and of campaign finance reform.
In 2006 it helped Republicans propose a Balanced Budget Veto Amendment. It also strongly criticized the tobacco settlements.
Interestingly enough, the Cato Institute also supported striking down state laws against homosexuality, and the Federal Marriage Act (which would have prohibited same-sex marriage).
The Heritage Foundation's solution to climate change (if it turns out to be real), is more fossil fuels: "How Fossil Fuels Will Help Us Confront Climate Change" [1].
That article describes how in Dubai they handle an average temperature of over 100 ℉ with no problems by having air conditioned homes, offices, cars, buses, trains, and shopping malls. It's abundant oil and a government that promotes economic freedom that allows this, it says.
It then ties it to dealing with climate change:
> The current average world temperature is about 58 degrees. The true believers in climate change are predicting global catastrophe if that temperature rises by a worst-case estimate of 7 degrees Fahrenheit. That would bring the world average temperature to about 65 degrees.
> Dubai, today, is doing quite well at an average temperature 35 degrees higher.
> Obviously, Dubai is on the cutting edge of technology and prosperity as a result of its oil endowment and government policies that promote economic freedom and growth.
> Not every country has oil, but in a globalized market, cheap fossil fuels are available everywhere to spur rapid growth and technological change.
