Would the Orthodox Jewish community accept someone who wanted to convert to Judaism as one of their own and accept them as an equal?
The procedure for conversion to Judaism is set in tractate Yevamot of the Talmud. It all flows from this one passage, which I will therefore quote to you in full. Good luck. Ask for more if you wish.
Our Rabbis taught: If… a man wishes to become a convert, he is to be addressed as follows: -“What reason do you have for wishing to become a convert? Do you not know that the Jews at the present time are persecuted and oppressed, despised, harassed and overcome by afflictions”?
-If he replies, “I know and yet I am [still] unworthy [of converting]”, he is accepted immediately, and is given instruction in some of the minor [commandments] and some of the major commandments… He is also told of the punishment for the transgression of the commandments.
-Furthermore, he is addressed as follows: “You must know that before you came, if you had eaten forbidden fat… or profaned the Sabbath you would not have been punishable…; but now, if you ate forbidden fat… or profaned the Sabbath you would be punished…”.
-And, as he is informed of the punishment for the transgression of the commandments, so is he informed of the reward granted for their fulfillment. He is told, “You must know that the World to Come was made only for the righteous, and that the Jews at the present time are unable to bear either too much prosperity or too much suffering”.
-He is not, however, to be persuaded or dissuaded too much. If he accepted, he is quickly circumcised... As soon as he is healed, arrangements are made for his immediate ablution [in a mikvah], when two learned men must stand by his side and acquaint him with some of the minor commandments and with some of the major [commandments]. When he comes up after his ablution he is deemed to be a Jew in all respects… [Yevamot 47]
I am basing my answer mainly on your comment - "Would they accept them as one of their own and accept them as an equal" together with the phrasing of your question stating "someone who wanted to convert"...
The answer is, simply, "No." As long as the person has not yet converted, he is a Gentile. Therefore, he is not "one of their own" nor "an equal". Furthermore, Jews discourage conversion. It's mainly because we want to be sure that the potential convert understands the enormous responsibility and challenges of being Jewish. Far too long to discuss all of them, here. But among them, include mitzvah observance and the challenges of anti-Semitism and secular influences.
Having said this, once a Gentile has understood what is involved, and is serious about converting (usually based on a rabbi, who will be the teacher and "supervisor" of the conversion process), he can convert.
Once converted, he is considered a Jew as all others are.
I have frequently heard that a convert is treated identically to someone born Jewish, but this is not true. I know of one exception, a woman who converts to judaism is not allowed to marry a Kohen (Jewish man of the priestly line of descent). I would not be surprised if there are other differences in how converts are treated (but this may be the only one).
So my answer would be "no".
Yes, they would accept a convert, in the most general sense (literally just "one who completes the conversion process). Once converted, there is (or should be) no difference in treatment of a converted Jew and a Jew by birth.
That said, conversion is inadvisable and I would recommend against converting to Judaism.