I don't reject the scientific method,
Yes, you do. The scientific method means that you don't start with your conclusion. You start with the evidence and see what conclusion it leads to.
just the common descent worldview.
There is no such thing. The only difference between the worldview of someone who accepts science, including ToE, and you, is that we rely on the scientific method all the time, and you rely on it all the time until it conflicts with your previously formed conviction.
Everyone starts with a worldview and then they look to see how the evidence fits their worldview.
No. Only creationists are dishonest cheaters who start with their conclusion and then cherry pick a few facts to prop it up.
That's not what happened. No one ever started with a common descent worldview. You've been lied to by those same creationists. What happened was, a bunch of devout Christians who knew the Bible was true went out looking for the evidence they knew would support it. They were completely surprised to find that it didn't. But they were honest enough to admit it. And so, in the 19th century, geologists realized that the earth is much older than the Bible says. By the 20th century, they figured out how new species come into existence. That's what happened.
Creationists say that God did it and evolutionists say that time did it. Either you believe in God or Time.
No, you're completely confused. You seem to think that evolution is some kind of religion or worldview, even though the first thing I explained is that it is none of those things. It's a specific theory in a specific field of science. It says absolutely nothing about whether God created all things, and is entirely consistent with the position that He did. In fact, we can all agree to assume that God created all things and still explain ToE, so let's do that.
Science does not tell you whether God created all things, only, if He did, how He did so. Do you understand that? (Can I have $1.00 for every time I've explained this please? Thanks; I'll retire now.)
Please stop trying to compare God and evolution. Science has nothing to do with whether God created anything. O.K.? Great.
There is no such thing as an evolutionist. The word you're looking for is "Biologist." And no, Biologists don't say that time did anything. They say that we get new species by descent with modification and natural selection--which you agree with.
In brief, if you're going to stop lying, you have to stop quoting from YEC websites, because they're nothing but lies from one end to the other. I can prove it to you. Pick one, any one, and I'll find a wild inaccuracy on the first substantive page.