We did not use the toolkit BitShares provide and our system (which we coded from 0) is ultimately very different. I think this week I will find the time to make a comparison chart.

But it is still the basic idea behind it (isn't it?) Would it be possible to make such a big progress without the initial original DPOS invention? Why do you named it then DPOS anyway when it is so different?
Using only the name(DPOS) should give you enough intensives to give credit to the initial creator and supporters... Not? Or at least you should not give a misleading(?) name that "help"(?) to bring you traffic from other community's that appreciate the DPOS technology. I suggest you strongly to think about it twice. It really doesn't seem to me a fair approach from your part and definitely it will hurt your project at some degree... (for example I would personally invest heavily on the project if I had not currently negative feelings regarding this issue...)
The general idea is the same. There are delegates who are forging the blocks and they get votes by the community with their XCR. However, there is no inflation. Generally it's more simple, Boris can give you more details on it. (If you are interested)
We call it DPoS because people know, like and trust it. (And of course because the idea is the same) I think by using DPoS for consensus we are distributing the idea of it, which strengthens all DPoS currencies. We are in contact with Stan Larimer and several BitShares community members (e.g. Justin from BeyondBitcoin.org). When people see Crypti and think DPoS is great, they will check out other crypto-currencies with DPoS.
Furthermore Crypti has a completely different goal than Bitshares, it's not like we are taking each others customers away. You need financial services, go to BitShares. You need decentralized applications, go to Crypti.
By the way, all XCR tokens are already distributed. Where should the share-drop even come from?