I would ask for something beyond "Because people whom I trust told me so."
I wholeheartedly agree with you.
Christianity makes a claim upon a person and also makes claims about persons. These claims are of an inconceivably important nature if Christianity is true. In fact, if Christianity is true, then Christ's birth, death, and resurrection are the three greatest events in all of human history and every person who has ever lived is in one way or another affected by these said events.
So no, I would not ask you to just take my "word" for it if I told you Christianity is true and all other religions are false. I would expect you to expect me to offer some type of evidence, some type of good reason(s) as to why Christianity is true. Since these matters would literally touch every aspect of your life, I would expect you to honestly, and earnestly desire to be sure about your belief.
Personally, I do not believe in Christ because people who I trust told me to believe in Him. In fact, there are some friends I have in my life who are not believers and I trust them and there are some believers who I would be hesitant to trust regarding certain things. Just because someone is a believer in Christ does not mean that they are automatically completely trustworthy. Likewise, just because someone is not a believer does not mean they are completely untrustworthy.
If I were discussing my faith with you, I would not tell you to believe in Christ for the remission of your sins and the salvation of your soul because the Pope, my pastor, my youth director, my Christian friends, Billy Graham, or Charles Stanley said so. I would tell you to look into the life of Christ for yourself. Read the New Testament for yourself. I would tell you to talk with those who are godly men and women and those who show by their lives and actions, not merely their words, that they are Christians.
I see no reason to consider the accuracy of your religious beliefs to be any greater than those of people who are a different religion because they were told a different religion was correct.
A religion's accuracy with regards to the recordings of historical events should be based on the evidence we have and what we know to be true regarding the events in question.
For example:
Either Islam is true and Christianity is false or Christianity is true and Islam is false, or they are both false.
What they cannot be is both true. Why? Because they each make mutually exclusive claims regarding the fate of Jesus of Nazareth for one.
Islam claims that Jesus was never actually crucified. Christianity does. Now we all know that it must be either or. So with regards to this crucial matter for example, I would simply ask you to do the research. If the evidence points to the conclusion that Jesus was indeed crucified under Pontius Pilate, then we can be certain that Islam is indeed false.
This is simply one example of a comparative study to determine the veracity of a religion's truth claims.
If you say that you feel it in your heart or something, that's great for you and I'm not trying to convert you, but you can't expect that to be enough to make me share your beliefs when people of every religion say the same thing.
It is true, people of various religions say that in some way or another, their convictions are deep and true.
But we know that these convictions cannot all be actually true. I can say that I feel Jesus in my heart all day long, but if this "feeling" is actually nothing more than wishful thinking, then I am deceived and misled. Likewise, if a Muslim says they feel Allah in their heart, leading them and guiding them to commit Jihad by cutting the heads off of Christians and other infidels, then they are either actually correct, or they are deceived.
When Christians confess that Christ dwells within them, then they are either correct and Christ does abide within them by His Spirit, or they are incorrect and this supposed "abiding" is simply a deception.
So no, I do not expect you to all of a sudden drop everything, confess Christ is Lord and Savior, and there on out, live a life of love and obedience to Him just because I tell you He lives in me or because I tell you I have a warm fuzzy feeling in my heart...