I hate to break it to you, but just because some liberals were against the Space Program it doesn't mean that its suddenly some sort of win for conservatives. You can't look at history in the black-and-white ultra-partisan view of today.
If anything the Space Program was a nationalist progressive movement brought on by a combination of a belief in the superiority of USA in technology and our social-political system, as well as a healthy dose of fear and paranoia about the Russians getting a leg up.
The Space Program in fact goes deeply against what both a traditional conservative would support as well as what the twisted "conservatives" of today would support as well. It's big government doing something that the private sector could do.
I don't care to do the research because I'm simply not going to spend my day trying to disprove such a small minded approach with more than a few sentences here, but I imagine that there were serious anti-space program legislators on both sides of the aisle (Although, I can imagine once the Space Program was whipped up into a leading nationalist project the presence of McCarthyism made it a bit harder to voice objections).
Again, you can't just pull any old historical situation where a few liberals or a few conservatives were against and lump them in with all the rest. That mentality is a huge portion of what is wrong with out country today, we've taken all the voices out of politics and given ourselves only two very simple minded and very corrupt voices to work with instead - and damn anyone who deviates from the party path!