When I am stripping a car of its LSP, I am generally getting read to detail the car that will involve some degree of polishing - I just like the idea of claying and polishing bare paint.
I will generally start off with a LSP stripping mixture of Chem Guys Citrus Wash and Clear which if I recall correction is 2 ounces per gallon of water. I will first thoroughly rinse the car off and then spray a 10:1 mixture of Meg APC on the paint. The combination of spraying APC on the paint and then following up with a wash of a strong mixture of Citrus Wash and Clear generally does the job. After the wash, I will clay the car with a fresh batch of citrus wash and clear as my lubricant. At that point, I am pretty sure my paint is LSP free or pretty dang close to it. Anything left will be taken car of by the abrasive polish. After polishing I apply an AIO with a finishing pad prepping the surface for the LSP. Lastly the LSP goes on.