Many do argue that the FCC shouldn't have the authority to regulate the internet, and often argue that idea to subtly change the subject.
If someone argues to abolish something, they should either argue in favor of a replacement, or argue that that thing should not exist at all. Unfortunately, I haven't heard even a flawed version of either argument.
Another faux argument I hear is the classic, "I am libertarian, and therefore must be against regulation of any form, and you can't change my mind." Obviously, that isn't an argument at all, and abusing libertarian ideology to look like an argument like that is seriously disappointing to any serious thoughtful libertarian, such as myself. This problem isn't specific to libertarianism either, but it is very popular in that community.
The core tenet to every position (not argument) I have heard against net neutrality is simply a position against regulation. The problem is that in the United States, we need to regulate ISPs, for several reasons:
1. There isn't enough competition: There are 6 ISPs in the US that control the majority of the market, and the majority of Americans are left with only one choice for >20mbit internet.
2. Net Neutrality is necessary to cultivate a free market of businesses that use the internet. Without net neutrality, the already centralized market of ISPs would cultivate centralized markets for each type of business that uses the internet.
TL;DR It is totally reasonable to be wary of regulation, or of the implementation of regulation. It may even be reasonable to consider net neutrality to be worthless or unnecessary in a truly free market, that has real competition between ISPs, but that isn't today's reality, so we would need to tackle that problem first.