No, that won't happen. The government wants their money, and the politicians want to stay in office.
The price of gas doesn't affect the government's take, so where would you find their incentive to raise the tax?
They only raises gas taxes very slowly, so nobody screams. Jumping the tax up a huge amount arbitrarily makes no sense and would be political suicide for anybody who votes for it.
" The price of gas doesn't affect the government's take, so where would you find their incentive to raise the tax? "
Actually it does, no it does not effect the percentage of the government's take, but if prices are to high and no one is buying the gasoline then the government is getting less and less of that percentage in tax receipts.
The production cost of gas goes down ? more is sold and the more the government gets in what is being sold to the public in their percentage.