Part of a good transcendental critique must be drawing the lines between the dots for people to see clearly.
If I have any critique of Van Til, it is that he could have done better connecting those dots. He observes things in people’s thought with uncanny penetration and insight. And he will often state that their position entails something else, often an unwelcomed theological conclusion. And he seems to be right when he draws the dots. However, he often leaves us dangling and does not always connect the dots explicitly. If we can improve on Van Til anywhere it is here: connect the dots more explicitly, while penetrating deeply and critiquing transcendentally (as Van Til did).
An example of what I am talking about is found in his The Theology of James Daane. There Van Til says that Arminians cannot do justice to the idea of an infallible Bible (p. 24). On the surface that sounds absurd because many Arminians believe in infallibility. But his point is that once you deny an absolutely sovereign God who stands back of all history and events, direct inspiration and the assurance that human authors are kept from error fails. In other words, a god that is not absolutely sovereign cannot have contact with creation, and even if he could he cannot speak with any level of absolute certainly. But he does not write that large with explicit clarity. He does not walk us through the logic of why “A” necessarily entails “B” (not just in this instance, but in almost every system of thought he critiques).
I think that is how we can advance Van Til today. Not by changing or toning down what he said (as some “Van Tillians” would have it), but by making more explicit and lucid what he did say.