I have never seen anyone other than reactionary conservatives claim a definition of tolerance, or a practice, that could be mistaken for "accepting and embracing something you don't like", and that in turn only when decrying the practice.
The problem comes in the question of how much a thing you don't like should be put up with. For instance, somewhere, right now, two guys are having sex.
Clearly, it would be intolerant for me to order them hunted down and killed.
But what's tolerant?
Is it intolerant if I ignore them unless I find out about them, then just order them killed, without the "hunting down" part? I'd say it is.
Is it intolerant if I say "please get out of my bed, I want to sleep and this isn't even your house?" I'd say that would be pretty reasonable.
The fuzzy boundary comes primarily in the public arena and in setting policies. Is it intolerant if I say "I don't care what you do, but if one of you is sick, the other can't come to the hospital to visit him?" I think it is.
Is it intolerant if I say "Stop kissing in public, it's disgusting?"
That's right about the center of the debate. I think that's intolerant. But, of course, in so thinking, I'm saying that people should put up with a public display, right near them, of something they don't like.
Why would this be a reasonable standard? Why should people have to be confronted with something they don't like?
The answer, I think, has to do with the concept of "public". Public spaces are open to everyone; they do not provide immunity to offense, and freedom is more important than not-being-offended. Public activities, or resources (such as hospitals), are likewise places that should give preference to allowing people access rather than restricting access.
Being offended is not harm. The basic rule is, "if you are not harming people, it's okay".
The other challenging question is laws against "hate speech". I am personally of the opinion that these laws are harmful and counterproductive, however, there is a rational basis for them. People who openly call for harm to others end up feeling justified in harming others. People who, while carefully not actually calling for harm, talk about how others deserve harm, likewise tend to end up believing they are justified in harming others.
However, laws against such things don't seem to work as well as rebuttal, and I think freedom is more important than not being offended.