On-topic, though: Yes, I could see myself playing for money. I wouldn't expect to win without much more practice than I currently get, obviously.
This then leads to the question: can we turn Dominion into a more-popular spectator sport?
It's obvious why DOTA, for instance, or Starcraft, are a spectator sports: they have excitement similar to football, with accessibility similar to football. Anyone can set up two goals and kick a football around on a nearby field, anyone can play DOTA or Starcraft. In both cases becoming very good takes tons of practice, but only one requires running for 90 minutes.
It's less obvious why Chess, MTG, and Hearthstone are spectator sports. Both have similar accessibility to football, but the excitement is all mental. (Does chess actually count as a spectator sport? There are large tournaments, there are heaps of cash on the line, but I've no idea who sponsors that cash. We all know where the cash for MTG and HS come from.) MTG, I think, was in this unique place in time, and picked up a huge amount of steam because it was unique. HS, of course, has the weight of Blizzard behind it.
And Dominion is missing, I think, one key element: there's just about zero incentive for a FLGS to sponsor a Dominion tournament, much less one every week.
My FLGS runs Friday Night Magic, like just about every other FLGS. Assuming they get 24 people to show up, they take in $360 in entry fees, and "spend" 120 boosters on the draft itself and prizes. They turn a small profit on the tournament itself. You can't do that with Dominion.