So you have what is called a
necessary condition to be a Christian, but not a
sufficient condition, because other religions can also have the same condition. (I would also argue about whether it is necessary, since I think you can be a Christian even if you can't love God with all your heart, strength, and mind, but let's do that later.)
So, let me be pedantic here a bit.

When you make a definition you have to satisfy 2 criteria:
1. Sufficient conditions.
2. Necessary conditions.
The goal is to include everyone who are Christians and exclude everyone who is not.
Here you hint at another necessary condition: Christ. But I would ask: are you following a human Jesus? After all, you are only talking about "teachings" and furthering "the Kingdom of God". Jesus does not have to be divine to do either of these, does he? The "faith" can simply be faith that the teachings are good and the goal is worthwhile.
Is that sufficient? Doesn't a Christian also have to believe that Jesus was divine? How do we do that? Don't we also have to believe that Jesus died and was resurrected (what I tend to call "Christ")?
Sorry, GraceSeeker, Chris81 and I are now in dialogue about what
ought to be the definition of Christian. You may very well want the Mods to move these posts to a new thread on "What should be the definition of Christian" so you can keep getting people to give you what they think the definition is.