it will close, atleast all of mine have that were that far apart. I have used 4 Dupage stocks and they all closed very tight
The bad thing about removing wood to get it to close easier is the wood will compress, then your lock up will be even looser
You can always try this if you dont want to try and close it. Do you have another trigger guard with worn lugs (flat spots on the bottom)? If so use that one , in a couple of months the wood will comress enough to use the guard in the picture