Gore was one of the people pushing for a balanced budget during Clinton's years.
Outside of environmental issues, I don't think he is (or was back then) a 'big govt' guy.
Gore was also the head of a commission to reduce government waste (something Democrats have regularly had, aside from Reagan's very partisan J. Peter Grace commission).
This resulted in the elimination of hundreds of thousands of government positions as I recall (many but not all in the military).
Right-wingers are often simpletons on the size of government; they don't ask anything about what the government resources are doing, so that the most useful and the most wasteful activities are the same to them, and they ignore the facts in front of their face about which side has the big 'waste'.
They can't accept that Democrats have often been the more frugal on getting things done with less; compare the size of administrative staffing between JFK and Reagan.
Sure, Social Security and Medicare are big operations - which *do critical and good things for citizens*. What did senior Americans face before those programs?
(Hint: 90% elder poverty rate and not able to afford medical care).
Too many on the right simply believe out of ideology, not fact, what 'the left' does, and argue it out of ideology, not fact. Point out that it was the Clinton administration that balanced the budget and not the Republicans before and after, and you get 'well the Republican congress gets the credit'. Point out the same Republican congress skyrocketed the deficit under a Republican president, and that the first two years of Clinton under a Democratic Congress reduced the deficit just as much as the later Republican Congress, and you get nothing, just a red face determined to keep their ideology about which party does what, finally leading to the incorrect concession that 'ok, both sides suck' when they can't address the facts.