The Bulldogs! Resources rules work great for a game about interstellar trading, with all sorts of Sci-fi gadgets to purchase, and as setting with pangalactic banks and loan sharks. In the modern day setting of the DFRPG they might seem a bit out of place. But I think it really depend on what part your players are missing from the looting experience.
If they are looking for cool mechanically differentiated gear and guns they aren't really going to get it in most FATE games, though Bulldogs! does have a little bit more of that. But a big part of the differences in gear and guns in that game don't apply in a modern day setting like the Dresden Files where all we have is Armor and Ballistic weapons with a few unusual and also usually illegal/military exceptions (Grenade and Rocket Launchers, Tasers, Flamethrowers, etc.). So no blasters, laser pistols, vibroweapons, or personal energy shields. Now since a lot of the weapon damage and extras assume and are balanced to a world were all the other stuff exists, I think some of the numbers might be a bit off if you tried to port in only one or two classes of weapons.
If they are missing the looting for the magic items and power boosts that come from them, I think there are plenty of options and examples in the Dresden Files. It's just that those magic items and power boosts will always have a cost associated with them, and they will have to pay that cost if they want to use them. Either with Refresh points for Powers, or by using them as aspects that cost fate points and can be compelled.
If they are missing the looting for the gold, jewels, money, and all the power it can buy in other games. Well there might be a solution to this in the Bulldogs! rules, but a Dresden Files game isn't really about the accumulation of wealth for it's own sake. Really if you wanted that just put Resources as your character's apex skill and never leave your awesome mansion except to buy and use all the cool toys you can now afford. No character is going to get mega rich simply looting the bodies in a modern day setting.
Really any time that something that would be worth looting is available in a modern setting any loot I'd handle it with an aspect. You took out a bunch of Third-Eye dealers and they had a "Suitcaseful of Cash" just waiting to be looted, awesome. You snuck into a Red Court Vampire's paramilitary camp and picked up a "Crate of Stolen Stinger Missiles", terrific. That powerful Warlock who you fed to the Wardens had a hidden vault of supernatural trinkets like an "Ancient Grimoire", or a "Ruby Necklace the Size of Your Fist", that you decided to keep for yourself. Absolutely fantastic.
I would let any player keep such a looted aspect for quite a while. Because honestly it won't help them any more than any other aspect, and you can bet I'm going to get some nice juicy compels out of them. The government is certainly going to be interested in where those stingers came from if you get caught with them, or use them anywhere that might attract their attention. The spells in that grimoire might lead to some dark places as far as magic goes, just a step or two down the dark path isn't really Lawbreaking and you can handle it right? The Wardens might also be very curious where that ancient fire demon bound in a ruby necklace got to, and since you were so helpful in pointing them at the Warlock you are probably the first one they ask about it. And even if the criminals or the cops don't come looking for that suitcase, the Wardens and all the forces of Hell have nothing on the IRS for being scary should you try to deposit or spend that money without paying your taxes on it.
Of course giving fragile resource aspects similar to Bulldogs! for rewards for successful jobs and as actual payments seems perfectly fine to me. Even Harry Dresden has gotten paid a couple of times in his career. He even picked up some of his best loot by killing Justin and taking his stuff.
