Personally I think this is a horrible idea. Gauging support is one of the BIGGEST parts of moving submissions from discussion to the actual poll. There were parts of CAP 5 where I had to go on judgement alone along with support from users. Another huge part of things like movepool (and really any other submission poll) is that ALL submitters have the ability to respond to feedback, whether it's on IRC, the Server, or on the forums. That wouldn't be allowed here because you're limiting the democratic process in a sense. In congress, representatives don't just blindly submit bills to the speaker, and vote on them. They have a chance to defend their proposition and make changes accordingly. With this, there is no room for that crucial debate portion, except by proxy.
Congress is a horrible analogy; half the crap gets submitted in complete darkness in the majority party's private committee meeting, and then gets shoved through before anyone at all gets a chance to look at it.
Another reason why I don't support this proposal is because it puts a ton of strain on the TL. TLs already take enough crap from everyone when they don't put so and so's submission in. Some TLs could feasibly rig the poll, and nobody would know the difference if they can't reveal the submitter!
People know their own spreads. If their final product has been tampered with then they will know about it, and can PM a mod about it. As far as TL's "rigging" a poll, have we ever nominated a TL malevolent enough to even try and pull that? I sincerely doubt it. The vast majority of experienced CAP contributors are either too mellow to care or too noble to tamper.
If it's too much strain on the TL, as hydrolphin recommended the ATL could be responsible for receiving the submissions and updating them, which would give the ATL a duty other than waiting for the TL to fall ill/get grounded/spontaneously combust.
Finally, a lot of you are assuming that the people you recognize most don't make good submissions, when in reality that's usually the reason people are recognized here, for good ideas. This is besides the fact that a "best submission" is completely subjective, and as we all know, everyone in CAP has their own ideas about how a project should turn out.
It's not so much that experienced users don't make quality submissions, its that generally speaking experienced users (server mods, serial poll contributors [me]) tend to get the bulk of the support between them.
Finally, nothing specifically precludes anyone from mentioning their spread to their friends in private messaging. You simply have to trust them enough not to spill the beans in the topic. Experienced CAP contributors will know enough not to be shouting any privy info like that from the hilltops.