I agree that Republicans do not mean what they say. Because of this I do not think they even wish to be a majority party...when in the minority they can blame Democrats for their supposed agenda not being passed.
Where I disagree is this: A tax cut is not spending. If I buy something for $10, the amount of value stays the same. I just converted some of the money into a tangible object worth $10. If my salary gets cut by $10, then I really do have $10 less value.
We do not have a revenue problem, we have a spending problem and neither party will address it. In the above analogy we are not trading money for value, we are riding down the road lighting $10 bills on fire and flinging them out the window.
I also will point to the last year or so's state legislatures that have passed abortion laws designed to end up in the SCOTUS. There are some Republicans serious about abortion, just none of them are at the national level.