The Warriors were 10-7 behind at half-time after a scrappy opening period at Scotstoun, but produced a much-improved second-half display to win 31-10 and reinforce their position at the summit of the URC standings.
"We've set ourselves up in a good position all season, top of the log in the URC and up there in the Champions Cup as well," full-back Smith told BBC Scotland.
"We want to be playing these games at home, and it's so good for us when we get in front of our own fans.
"It's such a fortress playing here, and that's what we spoke about last week. We had that dog in us from last week, against a Leinster team coming here, and we had to win.
"We said we had to back that up again and I think we struggled to do that in the first half against Benetton, who we were probably more expected to beat.
"No disrespect to Benetton, but we showed that in the second half, and those five points are going to be vital for us going to South Africa (to face Lions and Stormers) in a couple of weeks. The last couple of games, we want to be in that top spot to get the home play-off."
Glasgow now turn their attention to a home Champions Cup last-16 clash with Bulls next Saturday, knowing a win would secure another tie at Scotstoun in the quarter-finals.
"It's a massive opportunity for us," Smith added. "Play-off rugby here, get a quarter-final, get a semi-final at home, hopefully, if we keep playing the way we're playing.
"It's always tasty against the Bulls. We're just so excited to get play-off rugby. It's the business end of the season and it's so good to have it here!"