I break from Libertarian Party in a few areas ...
1) I'm pro-life. There are pro-life Libertarians, but we're a minority and against the platform there.
2) I'm not a strict non-interventionist on foreign policy. I place myself in the realist camp when it comes to foreign policy. I think the US government's foreign policy should be based on promoting the interests of its citizens. I just happen to think that a vast majority of the time, non-interventionism is the best way to promote our interests.
3) I'm not for free borders. Again, the US government is about doing what's best for its citizens. As a sovereign nation, we have a right to determine who can and cannot enter our nation.
4) I'm not opposed to government providing infrastructure, education, and a basic social safety net. A lot of libertarians are against those things. Not sure what the platform says nowadays, but it probably still opposes it. The LP platform is pretty radical.
I don't really consider myself a capital L libertarian. I usually vote for the party's candidates, but mostly as a way to register my disgust with the two mainstream party's candidates. I'm not a registered member. If a candidate came along from either party who was even moderately close to most of my views (or even just a handful of the ones I consider most important) I would vote for them.