Daratumumab or FMS Inhibitor JNJ-40346527 Before Surgery in Treating Patients With High-Risk, Resectable Localized or Locally Advanced Prostate Cancer

Inclusion Criteria:

* Consent to MD Anderson laboratory protocol PA13-0291.
* Histological documentation of adenocarcinoma of the prostate reviewed at MD Anderson Cancer Center. Patients with small cell, neuroendocrine, or transitional cell carcinomas are not eligible.
* Patients with high-risk prostate cancer (at least 1 core with Gleason sum \>= 8) must have at least three core biopsies involved with cancer (a minimum of 6 core biopsies, must be obtained at baseline). A prostate biopsy within 3 months from screening is allowed for entry requirements.
* No evidence of metastatic disease as documented by technetium-99m (99mTc) bone scan and by computed tomography (CT) or magnetic resonance imaging (MRI) scans.
* Eugonadal state (serum testosterone \> 150 ng/dL).
* Localized or locally advanced disease deemed by the surgeon to be resectable. Patients must be appropriate candidates for radical prostatectomy plus pelvic lymph node dissection.
* No prior treatment for prostate cancer including prior surgery (excluding transurethral resection of the prostate \[TURP\]), cryoablation, pelvic lymph node dissection, radiation therapy, hormonal therapy or chemotherapy.
* To avoid risk of drug exposure through the ejaculate (even men with vasectomies), subjects must use a condom during sexual activity while on study drug and for 3 months following the last dose of study drug. If the subject is engaged in sexual activity with a woman of childbearing potential, a condom is required along with another effective contraceptive method consistent with local regulations regarding the use of birth control methods for subjects participating in clinical studies and their partners. Donation of sperm is not allowed while on study drug and for 3 months following the last dose of study drug.
* Eastern Cooperative Oncology Group (ECOG) performance status (PS) grade of 0 or 1.
* AT SCREENING: Hemoglobin within institutional normal limits. Administration of growth factors or blood transfusions will not be allowed to confirm eligibility.
* AT SCREENING: Platelet count within institutional normal limits. Administration of growth factors or blood transfusions will not be allowed to confirm eligibility.
* AT SCREENING: Absolute neutrophil count within institutional normal limits. Administration of growth factors or blood transfusions will not be allowed to confirm eligibility.
* AT SCREENING: Absolute lymphocyte count within institutional normal limits. Administration of growth factors or blood transfusions will not be allowed to confirm eligibility.
* AT SCREENING: Serum chemistries, renal and liver panels within institutional normal limits or meets the requirements for radical prostatectomy.
* Each subject must sign an informed consent form (ICF) indicating that he understands the purpose of and procedures required for the study and is willing to participate in the study.

Exclusion Criteria:

* Prior hormone therapy for prostate cancer including orchiectomy, antiandrogens, ketoconazole, or estrogens (5-alpha reductase inhibitors allowed), or luteinizing hormone-releasing hormone (LHRH) agonists/antagonists.
* Currently enrolled in another interventional study.
* Concurrent treatment with systemic corticosteroids (prednisone dose \> 10 mg per day or equivalent) or other immunosuppressive drugs \< 14 days prior to treatment initiation. Steroids that are topical, inhaled, nasal (spray), or ophthalmic solution are permitted.
* History of or known or suspected autoimmune disease (exception\[s\]: subjects with vitiligo, resolved childhood atopic dermatitis, hypothyroidism, or hyperthyroidism that is clinically euthyroid at screening are allowed).
* Known evidence of an active infection requiring systemic therapy such as human immunodeficiency virus (HIV), active hepatitis, or fungal infection.
* History of clinically significant cardiovascular disease including, but not limited to:

  * Myocardial infarction or unstable angina =\< 6 months prior to treatment initiation.
  * Clinically significant cardiac arrhythmia.
  * Deep vein thrombosis, pulmonary embolism, stroke =\< 6 months prior to treatment initiation.
  * Congestive heart failure (New York Heart Association class III-IV).
  * Pericarditis/clinically significant pericardial effusion.
  * Myocarditis.
  * Endocarditis.
* History of major implant(s) or device(s), including but not limited to:

  * Prosthetic heart valve(s).
  * Artificial joints and prosthetics placed =\< 12 months prior to treatment initiation.
  * Current or prior history of infection or other clinically significant adverse event associated with an exogenous implant or device that cannot be removed.
* Other prior malignancy (exceptions: adequately treated basal cell or squamous cell skin cancer, superficial bladder cancer, or any other cancer in situ currently in complete remission) =\< 2 years prior to enrollment.
* Any medical, psychological or social condition that in the opinion of the investigator, would preclude participation in this study.
* DARATUMUMAB ONLY: Seropositive for hepatitis B (defined by a positive test for hepatitis B surface antigen \[HBsAg\]). Subjects with resolved infection (ie, subjects who are HBsAg negative but positive for antibodies to hepatitis B core antigen \[antiHBc\] and/or antibodies to hepatitis B surface antigen \[antiHBs\]) must be screened using real-time polymerase chain reaction (PCR) measurement of hepatitis B virus (HBV) DNA levels. Those who are PCR positive will be excluded. EXCEPTION: Subjects with serologic findings suggestive of HBV vaccination (antiHBs positivity as the only serologic marker) AND a known history of prior HBV vaccination, do not need to be tested for HBV deoxyribonucleic acid (DNA) by PCR. Seropositive for hepatitis C (except in the setting of a sustained virologic response \[SVR\], defined as aviremia at least 12 weeks after completion of antiviral therapy)