Monovision most certainly is successful for people who are hyperopic (farsighted, longsighted), but not everyone who is hyperopic.
Whether or not you would tolorate the monovision effects is rather easy to establish. Just try monovision correction in contact lenses for a few weeks and see how you like it. It may be, however, that to correct your hyperopia and induce enough myopia to create monovision would be too great a challenge.
Monovision requires that the nondominant eye first have all hyperopia resolved and then to be "overcorrected" into myopia (nearsighted, shortsighted) vision by about 1.50 to 2.00 diopters. If a person is 3.00 diopters hyperopic, a total of 5.00 diopters (3.00 of hyperopia plus 2.00 induced myopia) would be necessary.
Hyperopic Lasik is much more challenging than myopic Lasik with a somewhat less predictable outcome. 3.00 diopters of hyperopia is considered rather severe. Making 5.00 diopters of correction is considered by many to be pushing hyperopic Lasik to its limits.