Yes I think privacy and security on the desktop has fallen way behind mobile and we need much stronger protection these days.
Mobile has no privacy, devs slap in any old SDK that promises them money. Way worse than desktop. Spyware is the basis for mobile apps.
Mobile's came at the cost of composability between programs and the imposition of policy, which are against the Unix Philosophy. I wouldn't make that trade. Mobile's a sad state of affairs, inferior to desktop in many ways.
You can most likely get better security than mobile's, you just need to e.g. learn to write your own SELinux policies, etc. Facilities are there; they just have a learning curve.