I know we put villains on ranges and a 2 pair is not outside the realm of possibility, to tell someone to shove their stack in on the flop in this hand doesn't sound right when you really think about it
Your focus is on our shape when we're up against 2pr, but even if they have all 2pr combos, it's still vastly more likely they have just 1pr. In fact, them having Q3 and Q4 in their ranges is fantastic for us, because it means they have all Qx, which makes it a lot less likely they have AQ.

AQ Q3 and Q4 is 27 combos. KQ QJ and QT is 36 combos. Q2, Q5-Q9 is another 72 combos. So of their Qx hands, 27/135 are 2pr or AQ, and 108/135 are 1pr.

That's 80% of their Qx that are one pair hands, 20% two pair/AQ.

If they had just KQ and AQ in their range, then they would have 12 KQ combos and 9 AQ combos, which makes AQ much more likely than if they have all Qx.

Their wide range is good for us, not bad. You can't give them Q3 and Q4, but not all the other junk Qx. As soon as you start adding all those hands to their ranges, it gets really good for our equity because our overcard is worth 13% when it's live, and when they have such a wide range, that ace is good more often.