realdata = https://www.dropbox.com/s/pc5tp2lfhafgaiy/realdata.txt
simulation = https://www.dropbox.com/s/5ep95808xg7bon3/simulation.txt
A density plot of thi
adjust= is not the same as bw=. When you plot
plot(density(log10(realdata), bw=1.5))
lines(density(log10(simulation), bw=1.5), lty=2)
you get the same thing as ggplot

For whatever reason, ggplot does not allow you to specify a bw= parameter. By default, density uses bw.nrd0() so while you changed this for the plot using base graphics, you cannot change this value using ggplot. But what get's used is adjust*bw. So since we know how to calculate the default bw, we can recalculate adjust= to give use the same value.
#helper function
bw<-function(b, x) { b/bw.nrd0(x) }
require(ggplot2)
ggplot() +
geom_density(aes(x=x, linetype="real data"), data=vec1, adjust=bw(1.5, vec1$x)) +
geom_density(aes(x=x, linetype="simulation"), data=vec2, adjust=bw(1.5, vec2$x)) +
scale_linetype_manual(name="data",
values=c("real data"="solid", "simulation"="dashed"))
And that results in

which is the same as the base graphics plot.