How to merge two text (log) files, sorted according to timestamp using python only?

Question

File1 is having timestamp in 1st entry, File2 is having timestamp in 3rd entry.Entries are separated by space.

Example: File1

01-01 **00:00:26.334** MODEM_CTRL: !!! Open /sys/devices/platform/
01-01 **00:00:26.335** MODEMD  : ro.modem.external.enable value is
01-01 **00:00:26.338** MODEMD  : TD modem is not enabled
01-01 **00:00:26.342** MODEMD  : W modem is enabled
01-01 **00:00:26.349** MODEMD  : It's w native version
01-01 **00:00:26.358** MODEMD  : enter start_service!
01-01 **00:00:26.360** MODEMD  : open stty dev: /dev/stty_w0

File2 :

<random_data> <random_data> 01-01 **00:00:26.333** c0 Booting Linux on physical
<random_data> <random_data> 01-01 **00:00:26.335** c0 Initializing cgroup subsy
<random_data> <random_data> 01-01 **00:00:26.336** c0 Initializing cgroup subsy
<random_data> <random_data> 01-01 **00:00:26.341** c0 Linux version 3.10.17-000
<random_data> <random_data> 01-01 **00:00:26.346** c0 CPU: ARMv7 Processor [410
<random_data> <random_data> 01-01 **00:00:26.349** c0 CPU: PIPT / VIPT nonalias
<random_data> <random_data> 01-01 **00:00:26.350** c0 Machine: sc8830, model: S
<random_data> <random_data> 01-01 **00:00:26.355** c0 mem_cs_get dram_cs_num=1
<random_data> <random_data> 01-01 **00:00:26.357** c0 mem_cs0_size_get dram_cs0

Expected output:

<random_data> <random_data> 01-01 **00:00:26.333** c0 Booting Linux on physical
01-01 **00:00:26.334** MODEM_CTRL: !!! Open /sys/devices/platform/
01-01 **00:00:26.335** MODEMD  : ro.modem.external.enable value is
<random_data> <random_data> 01-01 **00:00:26.335** c0 Initializing cgroup subsy
<random_data> <random_data> 01-01 **00:00:26.336** c0 Initializing cgroup subsy
01-01 **00:00:26.338** MODEMD  : TD modem is not enabled
<random_data> <random_data> 01-01 **00:00:26.341** c0 Linux version 3.10.17-000
01-01 **00:00:26.342** MODEMD  : W modem is enabled
<random_data> <random_data> 01-01 **00:00:26.346** c0 CPU: ARMv7 Processor [410
<random_data> <random_data> 01-01 **00:00:26.349** c0 CPU: PIPT / VIPT nonalias
01-01 **00:00:26.349** MODEMD  : It's w native version
<random_data> <random_data> 01-01 **00:00:26.350** c0 Machine: sc8830, model: S
<random_data> <random_data> 01-01 **00:00:26.355** c0 mem_cs_get dram_cs_num=1
<random_data> <random_data> 01-01 **00:00:26.357** c0 mem_cs0_size_get dram_cs0
01-01 **00:00:26.358** MODEMD  : enter start_service!
01-01 **00:00:26.360** MODEMD  : open stty dev: /dev/stty_w0

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Question is different from the one, ift is marked duplicate of. 1> my files don't have any columns as entries are separated by spaces only. 2> Because that uses awk, And I need it in python only. 3> I don't want to merge only columns, I want to merge all full lines. the other one is just pasting column to first file.