This is an unfair analysis, and is either naive at best or disingenuous at worst.
I'm not a registered Republican, but I AM strongly against an all-powerful centralized body of government that continues to expand exponentially. I would rather focus powers in a more decentralized direction closer to the individuals and the States themselves. e.g. "Think globally - act locally."
The parent's comment is the EXACT problem that comes with a central government that is too powerful: you have to be mindful that "your party" will not be in "charge" about ~50% of the time.
For a concrete example, I don't like expanding Presidential powers nor extensive use of Executive Orders because likely there will be a president I don't support in that position, and I'd rather her/him NOT have that type of power.
States and local communities are more knowledgable about what their constituents need, and the more local you go, the more homogeneous that group becomes - leading to a higher degree of success for those policies. For example, I have never lived on a farm, nor have every lived remotely _near_ a farm...so how can I properly empathize with their needs or considerations in a fair way?
States and more local forms of government also provide solid grounds for the greatest real-life A/B test of policies in the world: if you are living in an area that doesn't align with your values and/or needs, you have _so many_ other options to consider settling. e.g. if you like living in California where virtually all the policies and politicians are left of center, then great! You can live there and it doesn't impact me in any way over in where I live.