The short answer is that you have a lot to gain and little to lose by doubling. Now for the longer answer.
You're trailing 0-2 to 5 and you own a 2-cube. If you don't double and lose this game, you'll trail 0-4 to 5 Crawford. You have to win 3 games in a row to win the match if no game is a gammon. Three in a row is 12.5%. Toss in the odd chance of a gammon and we'll take that up to roughly 15%.
So if you double and then lose, you'll have cost yourself 15% MWC (match winning chances). That's your risk from doubling.
Now what's your upside from doubling? If you double and win, you'll be leading 4-2 to 5 Crawford. Your opponent now must win two in a row. so you're a 75% favorite. If you don't double and win, you're 50%. So your gain from doubling is 25%.
So doubling means you're risking 15% to gain 25%. You can do that as an underdog. Roughly you need to be 15/40 = about 40% to double. Looking at the position it's clear you're some kind of favorite, so double.
I'll add that you do have a sort of attack. You will likely close the 2 and maybe even improve your distribution this turn. He will be forced off the anchor with any 6, and then you can pounce.