First, thanks for posting! And your question is an important one.

In case you haven't seen it, the LCP has a FAQ Liberal Capitalist Party? How do you differ from the Libertarians? that may provide some of the answer you're looking for.

A Liberal Capitalist Party would certainly have a lot of positions in common with the LP. But we'd also have a good bit in common with the Republicans and Democrats as well. With the LP we'd share the goals of an end to the war on drugs, wholesale tax and entitlement reform, and genuinely smaller government in line with our Constitution, among other things.

But as the FAQ implies, what's more important than the ways in which we'd be similar are the ways in which we'd be different. The Libertarian Party is generally over-informed by philosophy, and as such finds it very difficult to compromise not just with other political parties, but with each other within their party as well. It impedes their ability to grow and succeed as a party. A Liberal Capitalist Party on the other hand is more interested in political progress than ideological purity. As a result our tent has the potential to be far, far larger than the Libertarian Party's tent ever could be.

Also, an LCP would pursue a very different foreign policy from the Libertarians. The LP tends toward isolationism and even pacifism, while the LCP would chart a more Jacksonian course.

yours/
peter