Get a consultation with a local plaintiff employment lawyer. Most give free consultations (check beforehand) so you'd have nothing to lose for an assessment of your case by an expert. You can give that person all the detail for assessment. Aside from this site, your local bar association is also a good referral point. Many such lawyers take the case on contingency if they want to represent you.
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What you have described sounds more like personality conflicts than discrimination. If you live in an employment at will state, you can be hired or fired for any reason or no reason as long as the termination is not because of discrimination or some other motive. In most states, absent discrimination or some other unlawful motive, employers are free to make unwise decisions (such as terminating everyone but the troublemaker).
If you believe you were terminated because of your race, gender, or other protected category, see a local employment law attorney for a thorough review of your facts. Good luck.
Nothing in the law prevents an employer from making a termination decision based on hearsay. In fact, termination is not unlawful because the employer's facts and conclusions are wrong, even if the error is inarguably established.
The employer has the right to choose to believe an accusing employee. Many employers have in place an informal policy of zero tolerance, meaning that they will terminate without investigation employees who are accused of certain kinds of misconduct. This, too, is not unlawful if applied without reference to any legally prohibited characteristic such as race.
It can be difficult to successfully allege unlawful discrimination where the protected characteristic, such as race, has always been known to the the employer. Here, for example, your employer has retained your services for two years in full knowledge of your race. On that history, it is often the case that some other "new" event or recently manifest factor is the reason for the employer's decision to terminate. Why would the employer suddenly terminate for a characteristic it has never cared about before?
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