The attacking midfielder starred in another of his club's famous victories over Celtic last weekend and reckons, in current mood, the Highlanders would hardly blink even if his beloved Liverpool came calling. But Williams, who has soared up the levels from humble Kendal Town to carve a future in Scotland's top flight, is keeping feet firmly on the ground.
The 26 year-old from Wigan admitted: "It's been a good week for us. It was a massive result against Celtic - probably the biggest I've personally been involved in. We've been given a bit of credit for that, but we're just getting on with enjoying playing our football. We're picking up results as well, so it's all been good. Celtic made changes with Europe in mind but they still had some quality players out there.
"Any team Celtic put out, it's going to be a tough ask to beat them. But with the way we've been playing this season so far, I feel we can beat anybody when we're on our game - and that was the case at the weekend. I thought we passed the ball pretty well and it could have been two or three by the end.
"We want to win our home games and build a fortress here in Inverness. With good consistency, we can finish pretty high up the table. Without that consistency, though, we all know we could drop a few points and be at the wrong end of the table. If we keep this form we've got at the moment, hopefully we'll be up there."
As for Kilmarnock's visit, Williams said: "Every player has a job to do and, as the manager has said, if we get 11 man of the match awards we'll beat them. That's the case against Kilmarnock and anyone else we play. We'll be looking for eleven man of the match awards again and hopefully we'll get a result."
Inverness' frugal defence are yet to concede and Williams is confident the victories and clean sheets so far are winning over sceptical fans.
He added: "Fans want to see goals and entertainment - I'm a Liverpool fan and want to see them scoring goals, but it's not always like that. We want to tire teams out, pass the ball, keep it and build up some good possession. That's the way we're playing at the moment and it's working which is why we're at the top of the league, so we'll keep going that way."
Lee Miller, meanwhile, has watched his fellow Kilmarnock strikers get off the mark while he has suffered a false start to the season, but their success has only further whetted his appetite. "It's great to be back training and in amongst it," he said. "I got three minutes the other night and I thought I was outstanding. But it's great to be back, I'm feeling really fit and raring to go. There's a lot of competition for places, especially for the striker positions, and it bodes well for the club.
"If people are fighting for their positions then they will play their best. I'm no different, I want to play."