If there is no distance in complete focus with your left eye, I'd wonder whether you have some uncorrected astigmatism which may be the issue, you don't mention that. Did they tell you what your refraction is, the prescription you'd need for distance correction, both sphere and cylinder?
Unfortunately "vaseline vision" is a symptom that may have multiple causes, a search turns up some examples such as refractive error:
http://ophthalmologytimes.modernmedicine.com/ophthalmologytimes/content/laser-enhancement-may-provide-solution-waxy-vision-complaints
"Laser enhancement may provide solution to 'waxy vision' complaints"
Or lens centration:
http://www.ophthalmologymanagement.com/articleviewer.aspx?articleID=108884
"• Centration. “Vaseline vision” after cataract surgery with a multifocal IOL often results from a large angle kappa, even when the lens is well centered within the capsular bag. Intraoperative centration is critical, although postoperative intervention is a possibility. Laser iridoplasty to re-center the pupil has been shown to improve visual acuity, but this is only an option in mild cases of decentration."
When it mentions "angle kapp", it is referring to:
http://eyeworld.org/article-centering-attention-on-presbyopic-iols
"However, if the patient has significant angle kappa, the pupillary axis is not in alignment with the visual axis, which leads to patient dissatisfaction even
when the lens appears to be well centered. "
i.e. with some people the line going through the center of their vision, their visual axis, doesn't go through the center of the pupil, so a lens centered on the center of the pupil may be off center from the perspective of the patient.