I think it would have been a different car from the Kizashi. It would have been something like the Forenza was to the Verona back when Suzukis were rebadged Daewoos.
That being said, I understand why Suzuki desperately wanted VW's cars. It was costing them a lot to get their Japan-built cars to US specs and they didn't have advanced powertrain technologies. They didn't even have direct injection when they still sold cars in the US. Meanwhile, VW is well known for making all kinds of interesting and advanced engines. However, I don't understand why Suzuki valued a hybrid model. There are only three companies that even make hybrids worth buying and that's Toyota, Honda, and Ford. No one else makes very competitive hybrids and even Honda had disappointing results with their now-gone Insight. Mazda is wise to avoid the technology and Subaru is learning that their only hybrid, the XV Crosstrek Hybrid, is a flop compared to their regular gassers. Given Suzuki is a small car maker, focusing on the Swift for the US market would have been much wiser while meeting corporate fuel economy specs, IMO.
I personally don't understand why Suzuki always wanted to join up with foreign companies with different values and goals. Mazda and Subaru have linked up with Toyota and have seen a positive outcome. I personally think Nissan would have been the company to link up with given Nissan has a tiny kei-car market presence in the JDM (something Suzuki dominates) and while I've never visited India, I bet their market share is nothing like Suzuki's over there. Suzuki could have saved Nissan some capital and investment in relaunching their entry-level Datsun brand in developing markets.
Well, given this denouement, it's clear to me that Suzuki will very likely not return to the US market and focus on markets in Asia which is actually growing. They will be like Daihatsu and Isuzu which are forgotten brands in America, but rather ubiquitous in Asia.
2011 Suzuki Kizashi Sport GTS 6MT (Black)