Scientific funding is a political game only to the extent that the politics are not contradicted by evidence. For example, no matter how good you are at scientific politics, you're not going to get the NSF to give you $1 billion to test whether the Earth is flat, or if gravity is actually caused by little fairies pushing us all down toward the ground.
Why? Because, at least for public scientific funding, it is bad politics for funding committees to look like they value politics over evidence. It opens up a big lane for other scientists to attack them.
If you have 3 groups all studying the same phenomenon, all proposing very similar studies, politics will in part affect who gets that funding. In retrospect, this can look overly conservative and even corrupt... but we must have the discipline to recognize hindsight for what it is.
In real time, trying to make funding decisions with little to no hard evidence for the right course of action, it is scientifically valid to use whatever evidence is available, even if it's something as nebulous as a reputation or a hunch.
Science has a reputation for producing hard evidence and knowledge, but the practice of science exists far out, on the edge of the unknown. The whole point of conducting scientific research is to explore what we don't know. By definition, evidence is scant there.
So what if a group proposes a hypothesis that seems really far out there, or even contradicts existing evidence? It's true that they will be less likely to get funding regardless of their connections.
Is it wrong that radically new ideas and approaches have a steeper hill to climb? Not necessarily; they have worse priors. "Extraordinary claims require extraordinary evidence." It's true that paradigm shifts often start out looking radically new, but it's also true that most radically new ideas end up being wrong.
Setting aside some funding for crazy ideas is not a bad idea, but it should not be very much... it certainly won't be enough to preempt any hindsight disappointment. There will always be a chance we'll look back and say "I wish we had funded those (seemingly crazy) researchers earlier."