Not only conservatives. Social democrats now positioned themselves against this, but they only do when convenient. They very much support increased surveillance attempts.
But if you look up past decisions, you will quickly notice that they have very similar ambitions here.
At some point they were against ISP saving connection info, only to switch in the last moment and then fully support and even pushing for it.
Aside from privacy violations, this did not have any positive effect on crime at all. It also showed that the German constitution is more or less a paper tiger.
It's funny how politicians want laws against issues for which they usually are the guilty party.