I think part of the problem is that so much of the mentality on the Right in politics is 100% reactionary. It's allowed the Left to define them even on issues where they have a stronger stance than the Left.
Take for example Environmentalism. Early on in that movement some of the most hardcore Environmentalists were on the Right (there's a reason the EPA started under Nixon). The reason why is pretty clear: If you're a hunter you a vested interest in preserving woodland populations. If you're a homeowner, you want to keep your home values high and clean water and air help with that, etc. If you're a Christian, the Earth is God's creation and you have a vested interest in the care of that creation. If you're a farmer or Rancher you have a vested interest in clean water. It's the reason the fight against the Keystone Pipeline really got going in a pretty Red state at the request of a Republican Governor.
However, once the Left latched on to environmental issues the immediate reaction by many on the Right was to denounce Environmentalism as some sort of new age cult, anti-American, and anti-business, which is pretty much the go to play for almost every issue the Left latches on to.
This reactionary stance really hurts when folks on the Right jump on the polar opposite view of the Left on an issue just because if a Lefty thinks it, it must be wrong? Right?
For example: There's VERY clear evidence the Environment is changing. Earth is indeed warming. However, the evidence that human activity is behind it is something that deserves legitimate scrutiny. The idea that global warming may ultimately be a bad thing deserves some debate too.
However, many MANY folks on this board will immediately denounce and scream at the top of their lungs "EARTH IS NOT HEATING UP!". That doesn't help, as thanks to the evidence you look stupid. And once you stake out the wrong position scientifically, it means you basically concede the rest of the argument to the Left.
You see this too with Evolution. The Evolutionary mechanism is pretty well documented scientifically. If you want to debate the evolutionary chain, fine, do so. That has a few gaps that do require explanation. But the mechanism? If you deny that there is adaptation via natural selection you're intellectually equivalent to a flat Earther. And once you take that position, the rest of your legitimate gripes look insane.
In the long run, a great many folks on the Right need to stake out a "This is what we think" on this issue so they don't let the Left define the stances of the Right.