Cornelius Van Til is the father of Presuppositional apologetics.  Here is a quick quote from The Reformed Pastor and Modern Thoughtpages 5-6:

All the facts of the universe are of necessity God-created, God-dependent facts. Therefore men ought to see that God is man’s Creator and his Judge. “For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse” (Rom 1:20).”

If God has indeed revealed Himself to all to such an extent that they are without excuse, shouldn’t this shape how we engage in apologetics with those who do not believe?

It should.  And Van Til was trying to be conscious of his Reformed and biblical conviction as what should drive and shape his apologetics.