If this isn't about what people like or dislike, then acceptance is the wrong word to use.
I accept that holding a hammer above my toe and letting go of it will cause that hammer to drop onto my foot. I do not like the hammer hitting my foot.
If a friend dies in a car accident, I accept he is dead. I do not have to like it that he is dead.
I do not have to like everything I must accept.
How many people have you talked to about this?
Hmmm....it would be (counting quickly) about 8 people. Not a lot, but still quite a bit for just one person to talk to. All of them but 1 opposes gay marriage (the one who does not is a gay man), but all of them agreed the government should just get out of marriage altogether (even the gay man agrees).
As an aside, I was once told I was a "extremist, right wing, homophobic bigot whose gay friends that visit every year and stay at my house over the weekend when they do should stop being my friends". I had to laugh at that one.
I do not support gay marriage, simply because marriage was a religious institution in the US before it was codified into law. As such, the goverment should just get out of marriage altogether and move to only civil unions for all (including heterosexual civil unions to replace traditional marriage). This is just the cleanest and simplest way out of this mess.
EDIT: Basically, due to the way the US was setup, with the division of religion and state and how strong religion is in the US, removing the government from any semblence of infriging on religious institutions is the best way to handle the situation. The current setup simply creates anger and hate, which does not solve anything.