Sounds like there's quite the French Defense battle going on here. I'll start by saying that I am admittedly a staunch Caro-Kann player, and would vouch for that opening no matter what. However, as a KID player, if you feel that is not your cup of tea and you want positions that are more similar to the ones you get in the KID, I would recommend 1.e5. I've played every opening under the sun as Black (both against e4 and d4), and when I was playing the KID, I found certain e5 positions to be very similar. There are a lot of lines in 1.e5 that get very sharp, and some strong lines that involve fianchettoing the dark-squared bishop. My personal favorite e5 line is: e4 e5 Nf3 Nc6 Bc4 Nf6 d3 h6, getting ready to follow up with the powerful g5. Black can easily get a KID-like attack in these lines and there are some great model games for this line. In the Ruy Lopez, Black can go for: e4 e5 Nf3 Nc6 Bb5 a6 Ba4 d6 0-0 Nf6 d3 g6, with a potentially potent kingside attack to come. I have one OTB game here against a FIDE Master which I held to a draw with ease (though you can definitely play for more!).
That all being said, if you're interested in learning about the Caro-Kann for Black, I have a few blog posts on it, and it is also featured in my most recent YouTube video, in which I play games with commentary and analysis. Please feel free to check out my channel here: https://www.youtube.com/channel/UCpRYz_ElTJC-FUq4unehOfg The Caro-Kann allows Black the choice between solidity and aggression, and this flexibility and level of control is something I personally find very intriguing.
As you're such an expert on this combination of openings, i'm sure most Kings indian players play the french against 1. e4, so lets look at some of the best Kings Indian experts. Kasparov, Fischer and Tal are all Kings Indian experts, so i'm sure all of them played the french with black every game against 1. e4, right? Oh yeah, they all mostly played the sicilian, and basically never the,oh so similar to the Kings Indian, French.
See post 20 smart alec!