Sure, based on certain attributes, you can create any sort of grouping. But under your definition here, in the USA, the Republican party is mostly "leftist" these days. And Democrats are often "conservative" (viz. their support of Ukraine or opposing Trump's corruption).
According to my own definition? This doesn't make any sense to me. Maybe you got those terms mixed up?
Most modern governments are not driven by any sort of ideology, or ideological spectrum, so if you want to understand what is really going on, it's best not to use big buckets like "left" and "right" because it will give you invalid results.
This sounds like a Qanon dog whistle or something. It's too ambiguous to try to deconstruct as apparently you are hinting that only "know" what's really going on.
Left and Right are perfectly suitable terms for most first world governments.
And what does "not driven by any sort of ideology, or ideological spectrum" means?
What are every tax that's used to build for common good, or worker's rights a result of then? Why do they even exist if not because of ideology? Even if a country would be ran by companies without any any restricting laws, it would be considered as ideology. And parties are supposed to be representations of ideologies.